What is the next number of the following sequence 1,6,31,156,781,.....

Akanksha Mishra   10 years AGO

Given Series:
1,6,31,156,781,.....

1 * 5 + 1 = 6
6 * 5 + 1 = 156
156 * 5 + 1 = 781

similarly

781 * 5 + 1 = 3906
so answer will be option 4

Like? Yes (26) | No (10)  

Varunraj Reddy   10 years AGO

Given sequence 1,6,31,156,781,...
The differences between numbers are 5,25,125,625,...
i.e., 5^1,5^2,5^3,5^4,...
So next number with difference of 5^5=3125
So 781+3125=3906
Ans is option 4)

Like? Yes (4) | No (1)  

Vikram Saini   10 years AGO

1,1*5+1,6*5+1,31*5+1,156*5+1,781*5+1=3906

Like? Yes (3) | No   

shivam tiwari   10 years AGO

FROM THE SERIES.....1,6,31,156,781 (1X5)+1=6 (6X5)+1=31 (31X5)+1=156 (156X5)+1=781 (781X5)+1=3906

Like? Yes (3) | No (1)  

NAGENDRA P   10 years AGO

(5^n-1)/4
put n=1,4/4=1
put n=2,(25-1)/4=6
put n=3,(125-1)/4=31
put n=4,(625-1)/4=156
put n=5,(3125-1)/4=781
put n=6,(15625-1)/4=3906..So option (4)

Like? Yes (2) | No   

saranya sankar   10 years AGO

5^0=1
5^1+1=6
5^2+6=31
5^3+31=156
5^4+156=781

5^5+781=3906

Like? Yes (2) | No   

VENKATA SIVA AVINASH A   10 years AGO

ANS: 3906

6=5^1+1
31=5^2+6
156=5^3+31
781=5^4+156
so next term is 5^5+781=3906

Like? Yes (2) | No   

OM PRAKASH JHA   10 years AGO

FROM THE SERIES.....1,6,31,156,781
(1X5)+1=6
(6X5)+1=31
(31X5)+1=156
(156X5)+1=781
(781X5)+1=3906

Like? Yes (2) | No (1)  

OM PRAKASH JHA   10 years AGO

WE CAN SEE FROM THE GIVEN SERIES THAT.....1,6,31,156,781
(1X5)+1=6
(6X5)+1=31
(31X5)+1=156
(156X5)+1=781
(781X5)+1=3906

Like? Yes (3) | No (2)  

abhilasha   10 years AGO

fibonnacci series is followed...so the next number will be 3906

Like? Yes (1) | No   

Chirag Ranjan Lahiri   10 years AGO

1*5+1=6
6*5+1=31
31*5+1=156
156*5+1=781
so ans will be - 781*5+1=3906

Like? Yes (1) | No   

Mallikharjuna   10 years AGO

follwoing series

1,
(1*5)+1 = 6
(6*5)+1 =31
(31*5)+1 =156
(156*5)+1 =781
(781*5 )+1 =3906.

Like? Yes (1) | No   

Vijay Chauhan   10 years AGO

1 * 5 = 5 +1 = 6
6 * 5 = 30 +1 = 31
31 * 5 = 155 +1 = 156
156* 5 = 780 +1 = 781
781* 5 = 3905+1 = 3906
so, ans is 4) 3906

Like? Yes (3) | No (2)  

sumasindhu   10 years AGO

ans is previous number multiplied with 5 and add 1
like: 1*5=5+1==6
6*5+1=31
31*5+1=156
156*5+1=781
781*5+1=3906
so ans is 3906 option 4

Like? Yes (1) | No   

Ranjeet k gupta   10 years AGO

next number is multiple of 5 and previous number and after multiplication addition of 1.

Like? Yes (1) | No   

nalini singh   10 years AGO

1,6/2
=3
second digit/2 first digit=31

Like? Yes (1) | No   

saketh reddy   10 years AGO

1,6...der is gap of 5 ....and 6*5=30+1=31
31*5=155+1=156
similarly 781*5=3905+1=3906

Like? Yes (1) | No   

saragadam gopi krishna   10 years AGO

1-6-31-156-781
1,1*5+1,6*5+1,31*5+1,156*5+1,781*5+1=3906

Like? Yes (1) | No   

Sana   10 years AGO

1*5=5 +1=6
6*5=30 +1=31
31*5=155 +1=156
156*5=780 +1=781
781*5=3905 +1=3906

Like? Yes (1) | No   

Manikumar R   10 years AGO

1
6*5+1=31
31*5+1=156
156*5+1=781
781*5+1=3906

Like? Yes (1) | No   

viveka   10 years AGO

1,6,31,156,781,.....
5. 25 125 625 3125+781=3906

Like? Yes (1) | No   

jyoti   10 years AGO

1,6=(1*5)+1,31=(6*5)+1,156=(31*5)+1,781=(156*5)+1,so 3096=(781*5)+1

Like? Yes (1) | No   

nitesh   10 years AGO

n=5;
y(0)=1;
y(n)={y(n-1)*5}+1;
hence y(5)={y(4)*5}+1=3906;

Like? Yes (1) | No   

sushil gupta   10 years AGO

difference b/w the number is 5 25 125 625 and next is 3125 so the next number is 3125+781 = 3906 then ans is 4

Like? Yes (1) | No   

diwakar kumar singh   10 years AGO

1*5+1=6
6*5+1=31
31*5+1=156
156*5+1=781
781*5+1=3906

Like? Yes (1) | No   

kumar gaurav   10 years AGO

1 mulitiply with 5 then add 1 more. same format

Like? Yes (1) | No   

kiran kumar reddy yanamala   10 years AGO

1*5+1,6*5+1,31*5+1,....

Like? Yes (1) | No   

Sukanya   10 years AGO

1*5+1=6
6*5+1=31
31*5+1=156
156*5+1=781
781*5+1=3906

Like? Yes (1) | No   

C. Veda Kumar   10 years AGO

the diff is 5,25, 125, 625, so next one is 3125...add 3125+781=3906

Like? Yes (1) | No   

Dipak Shaw   10 years AGO

1
1×5+1=6
6×5+1=31
.......
781×5+1=3906

Like? Yes (1) | No   

D.HARINATH REDDY   10 years AGO

1*5+1=6
6*5+1=31
31*5+1=156
156*5+1=781
781*5+1=3906

Like? Yes (1) | No   

Rajasekhar Reddy   10 years AGO

781*5 + 1 = 3096

Like? Yes (1) | No   

Mazeed   10 years AGO

here the reason is the difference between two numbers is multiple with 6 , then we add the previous known number with our product ..
6-1=5, 5*6=30 then 30+1=31
31-6=25 , 25*6=150 then 150+6=156
156-31=125 , 125*6=750 then 750+31=781
again the same logic can obtain the next number ..
781-156=625 , 625*6=3750 then 3750+156=3906

Like? Yes (1) | No   

S.SHAFI   10 years AGO

Given series is in the form of (5^n-1)/4
1,6,31,156,781,..
for n=1, (5^1-1)/4 = 4/4 = 1
for n=2, (5^2-1)/4 = 24/4 = 6
for n=3, (5^3-1)/4 = 124/4 = 31
for n=4, (5^4-1)/4 = 624/4 = 156
....
for n=6, (5^6-1)/4 = 15624/4 = 3906

Like? Yes (2) | No (1)  

ROHIT RAJ   10 years AGO

1, 1*5+1=6, 6*5+1=31, 31*5+1=156, 156*5+1=781, 781*5+1=3904

Like? Yes (1) | No   

S Prakash   10 years AGO

Solution:
1,6,31,156,781,3906
Reason
1=1
1+5=6
6+(5^2)=31
31+(5^3)=156
156+(5^4)=781
781+(5^5)=3906

Like? Yes (1) | No   

RAKESH   10 years AGO

781+5*625=3906

Like? Yes (1) | No   

Anirudh Maheswari   10 years AGO

(0*5)+1=1; 1*5+1=6; 6*5+1=31 so, 781*5+1=3906

Like? Yes (1) | No   

VISHNUVARDHANA   10 years AGO

1*5+1 = 6
6*5+1 = 31
31*5+1 = 156
156*5+1 = 781
781*5+1 = 3906

Like? Yes (1) | No   

rahul   10 years AGO

series is
(1*5)+1 = 6
(6*5)+1 = 31
(31*5)+1 = 156
..
(781*5)+1 = 3906

Like? Yes (1) | No   

Harshit Daga   10 years AGO

0*5+1, 1*5+1, 6*5+1, 31*5+1, 781*5+1...
so the next number will be..
781*5+1 = 3906
that is option 4

Like? Yes (1) | No   

Praveen Tenneti   10 years AGO

1,1*5+1=6,6*5+1=31,31*5+1=156,156*5+1=781,781*5+1=3906

Like? Yes (1) | No   

hemlata ninama   10 years AGO

1*5+1=6 ,6*5+1=31 ,31*5+1=156 ,156*5+1=781 ,781*5+1=3906

Like? Yes (1) | No   

Gaurav Garg   10 years AGO

t(n)=t(n-1)+5^(n-1)

Like? Yes (1) | No   

IFFAT IRAM   10 years AGO

781*5+1=3905+1
=3906

Like? Yes (1) | No   

Suman   10 years AGO

1*5+1=6
5*6+1=31....so on 781*5+1=3906

Like? Yes (1) | No   

yuva   10 years AGO

781*5+1

Like? Yes (1) | No   

Kaustubh karekar   10 years AGO

781*5+1=3906

Like? Yes (1) | No   

sravani   10 years AGO

1,6,31,156,781,..
5,25,125,625,3125

3125+781=3906

Like? Yes (1) | No   

arun prakash singh   10 years AGO

multiplication of 5 with add 1

Like? Yes (1) | No   

SONU GUPTA   10 years AGO

1; 1+5=6; 6+5^2=31; 31+5^3=156; 156+5^4=781; 781+5^5=3906

Like? Yes (1) | No   

hemavathi   10 years AGO

1*5=5, 5+1=6
6*5=30, 30+1=31
31*5=155, 155+1=156
156*5=780, 780+1=781
781*5=3905, 3905+1=3906

Like? Yes (1) | No   

Gourab Dutta   10 years AGO

6=1*5+1;;; 31=6*5+1;; 156=31*5+1;; 781=156*5+1; 3906=781*5+1

Like? Yes (1) | No   

Gudivada sunitha   10 years AGO

1*5= 5.5+1=6
6*5=30,30+1=31
31*5=155,155+1=156
156*5=780,780+1=781
781*5=3905,3905+1=3906

Like? Yes (1) | No   

arunkumar   10 years AGO

1*5+1=6
6*5+1=31
31*5+1=156
156*5+1=781
781*5+1=3906

Like? Yes (1) | No   

K Venkata Subba Rao   10 years AGO

1, 6, 31, 156, 781
6-1 =5 (5^1)
31-6 =25 (5^2)
156-31 =125 (5^3)
781-156 =625 (5^4)
? -781 =3125 ==> ans is 3906

Like? Yes (2) | No (1)  

saratht   10 years AGO

6-1=5
31-6=25
156-31=125
781-156=625
hence the number must be 781+(625*5)=3906

Like? Yes (1) | No   

YUVAN SATHAIAH   10 years AGO

1=1
5^1+1=5+1=6
5^2+6=25+6=31
5^3+31=125+31=156
5^4+156=625+156=781
then
5^5+781=3125+781=3906

Like? Yes (1) | No   

neeraj   10 years AGO

6=1*5+1
31=6*5+1
156=31*5+1
781=156*5+1
3906=781*5+1

Like? Yes (1) | No   

kundan kumar singh   10 years AGO

follow the sequence of (number*5+1)

Like? Yes (1) | No   

Aman Seth   10 years AGO

it is series and every number is multiply by 5 and after that add +1 in to this series

Like? Yes (1) | No   

Sourav Das   10 years AGO

(1*5)+1=6
(6*5)+1=31
(31*5)+1=156
(156*5)+1=781
(781*5)+1=3906
so option (4) is correct

Like? Yes (1) | No   

sangeetha   10 years AGO

(1*5)+1=6
(6*5)+1=31
.
.
.
(781*5)+1=3906

Like? Yes (1) | No   

roushan   10 years AGO

series of 5 ^1 , 5^2 , 5^3 ....5^5.

Like? Yes (1) | No   

Himanshu Bisht   10 years AGO

difference between numbers are multiple of 5.
ex
6 - 1 = 5;
31 - 6= 25;
156-31 = 125;
781-156 = 625;
3906-781 = 3125

Like? Yes (1) | No   

j.b.manasa   10 years AGO

1*5+1=6
6*5+1=31
31*5+1=156
156*5+1=781
781*5+1=3906

Like? Yes (1) | No   

SADINENI RAGHAVENDRA BABU   10 years AGO

1 *5=5 & 5 +1 =6
6 *5=30 & 30 +1 =31
31 *5=155 & 155 +1 =156
156 *5=780 & 780 +1 =781
781 *5=3905 & 3905+1 =3906 is answer

Like? Yes (1) | No   

rahul kumar   10 years AGO

each consecutive no. is the progressive difference of 5, 5^2 , 5^3.....upto 5^5

Like? Yes (1) | No   

Gokul Krishnan   10 years AGO

1,6,31,156,781...
difference is (5*1)+1,(5*5)+6,(25*5)+31,(125*5)+156,
(625*5)+781 .
So,the answer is 3906.

Like? Yes (1) | No   

julee verma   10 years AGO

1+5=6
6+25=31
31+125=156
156+625=781
781+3125=3906

Like? Yes (1) | No   

Anantharaman   10 years AGO

Sequence follows n*5+1 formula
1
6 = 1 * 5 + 1 = 6
31 = 6 * 5 + 1 = 31
156 = 31 * 5 + 1 = 156
781 = 156* 5 + 1 = 781

Similarly 781 * 5 + 1 = 3906
Option 4

Like? Yes (1) | No   

hena samanta   10 years AGO

6-1=5
31-6=25
156-31=125
781-156=625
2nd element=1*5+1=6
3rd element=5*5+6=31
4th element=25*5+31=156
5th element=125*5+156=781
therefor 6th element=625*5+781=3906

Like? Yes (1) | No   

ananthavalli   10 years AGO

6-1=5
31-6=25
156-31=125
781-156=625
The difference between each number is multiply by 5 that is 5*5=25;25*5=125;125*5=625;
Then 625*5=3125
3125+781=3906
option 4)

Like? Yes (1) | No   

Udhaya kumar   10 years AGO

Difference bw numbers are 5,25,125,625,3125 respectively...

Like? Yes (1) | No   

a.k.gayathridevi   10 years AGO

1+(1*5)=6
1+(6*5)=31
1+(31*5)=156
1+(156*5)=781
so
1+(781*5)=3906

Like? Yes (1) | No   

Tarun Sai   10 years AGO

Differences between each number are increasing powers of 5

Like? Yes (1) | No   

Sai Kiran B   10 years AGO

1*5=5, 5+1=6
6*5=30,30+1=31
31*5=155, 155+1=156
156*5=780,780+1=781
781*5=3905,3905+1=3906

Like? Yes (1) | No   

kundan kumar   10 years AGO

the difference is multiplied by 5

Like? Yes (1) | No   

mohini gupta   10 years AGO

next no.= previous no. *5+1

Like? Yes (1) | No   

Srinivasa Vamsi Krishna Dodda   10 years AGO

6-1 = 5
31-6 = 25 (5^2)
156-31 =125 (5^3)
781-156 = 625(5^4)
3906-781 = 3125 (5^5)

So ans : 3906

Like? Yes (1) | No   

Krishna Chaitanya   10 years AGO

Given 1,6,31,156,781 this can be interpreted as
(1*5)+1=6
(6*5)+1=31
(31*5)+1=156
(156*5)+1=781
(781*5)+1=3906

Like? Yes (1) | No   

MD JAVED SALIM   10 years AGO

multiply by 5 and add 1 in each step.

Like? Yes (1) | No   

satya   10 years AGO

1,1*5+1,6*5+1,31*5+1,156*5+1,781*5+1(3905+1)

Like? Yes (1) | No   

Leelanand Kumar Yalla   10 years AGO

1*5=5+1=6;
6*5=30+1=31;
31*5=155+1=156;
156*5=780+1=781;
781*5=3905+1=3906; this is the answer.....

Like? Yes (1) | No   

Greeshma Varghese   10 years AGO

1+(5^1)=6
6+(5^2)=31
156+(5^4)=781
781+(5^5)=3906

Like? Yes (1) | No   

pritipriya   10 years AGO

increasing numbers in sequence by
5,25,125,625,3125

Like? Yes (1) | No   

SID PRASANTH KUMAR   10 years AGO

(1*5)+1,(6*5)+1,(31*5)+1....

Like? Yes (1) | No   

Keshav Kishlay   10 years AGO

6-1=5,31-6=25,156-31=125,781-156=625,
so,625*5=3125+781=3906;

Like? Yes (1) | No   

Shahnawaz Ahmad   10 years AGO

1+1*5=6
6+5*5=31
31+25*5=156
156+125*5=781
781+625*5=3906

Like? Yes (1) | No   

sandy   10 years AGO

1
5^1+1
5^2+6
5^3+31
5^4+156
5^5+781=3906

Like? Yes (1) | No   

Rajat Goyal   10 years AGO

781*5 + 1= 3906
So, option 4 is correct.

Like? Yes (1) | No   

Dinesh Tripathi   10 years AGO

1
1*5+1=6
6*5+1=31
31*5+1=156
156*5+1=781
781*5+1=3906

Like? Yes (1) | No   

prerna   10 years AGO

1*5+1=6
6*5+1=31
31*5+1=156
156*5+1=781
781*5+1=3906

Like? Yes (1) | No   

susmit   10 years AGO

0*5+1=1
1*5+1=6
6*5+1=31
31*5+1=156
156*5+1=781
781*5+1=3906
option no.4

Like? Yes (1) | No (1)  

Neha Rani   10 years AGO

1*5+1=6
6*5+1=31
31*5+1=156
156*5+1=781
so,781*5+1=3906

Like? Yes (1) | No (1)  

Jigyasa Kumar   10 years AGO

fibonacci series is used...so the next number will be 3906

Like? Yes (1) | No (1)  

sudipta sadhukhan   10 years AGO

(5^n-1)/4

Like? Yes (1) | No (1)  

Venkatesh KK   10 years AGO

Difference between successive digits are 5,25(i.e, 5^2),125(i.e, 5^3),625(i.e, 5^4),....

ie.,
1+5=6
6+25=31
31+125=156
156+625=781
Similarly,
781+3125=3906 (option 4)

Like? Yes (2) | No (2)  

Aarush Singh   10 years AGO

fibonnacci rule is followed...so the next number is
3906

Like? Yes (1) | No (1)  

madanpal vishwakarma    10 years AGO

the series is as follows
first term =1
second term =previous term *5+ 1 =1*5+1=6
third term =previous term *5+ 1 =6*5+1=31
fourth term =previous term *5+ 1 =31*5+1=156
fifth term =previous term *5+ 1 =156*5+1=781
sixth term =previous term *5+ 1 =781*5+1=3906

so option 4 is correct

Like? Yes (2) | No (2)  

Srinath   10 years AGO

According 2 antidiagonals....

Like? Yes (1) | No (1)  

T G   10 years AGO

ans 3906
1 6 31 156 781
5 25 125 625
5*5=25
25*5=125
125*5=625
625*5=3125
3125+781=3906

Like? Yes (2) | No (2)  

ASHISH MITTAL   10 years AGO

previous term*5+1

Like? Yes (1) | No (1)  

Kanhaiya Jha   10 years AGO

1,6,31,156,781,...
Here difference between two consecutive terms=
5,25,125,625,..
Therefore all the differences are multiple of 5.
Hence next difference will be 625*5=3125
Therefore next term=3125+781=3906
Therefore option 4)

Like? Yes (1) | No (1)  

Lavankumar Reddy   10 years AGO

Here First 1
then =1+1*5=6
next =1+6*5=31
next =1+31*5=156
next =1+156*5=781

And Finally like these =1+781*5= 3906

Like? Yes (1) | No (1)  

Praneeth   10 years AGO

1*5+1=6
6*5+1=31
31*5+1=156
156*5+1=781
781*5+1=3906

Like? Yes (1) | No (1)  

Paras   10 years AGO

difference is multiple of 5
5,25,125,625,3125
1+5=6
6+25=31
31+125=156
156+625=781
781+3125=3906

Like? Yes (1) | No (1)  

Grishma Shah   10 years AGO

1
1*5 + 1 = 6
6*5 + 1 = 31
31*5+ 1 = 156
156*5+1 = 781
781*5+1 = 3906

Like? Yes (1) | No (1)  

Saidinesh   10 years AGO

1*5+1=6;
6*5+1=31;
31*5+1=156;
156*5+1=781;
781*5+1=3906

Like? Yes (1) | No (1)  

Devendra Marghade   10 years AGO

1+5^1=6
6+5^2=31
31+5^3=156
156+5^4=781
781+5^5=3906

Like? Yes (1) | No (1)  

Suyog   10 years AGO

1*5+1=6,
6*5+1=31,
31*5+1=156,
156*5+1=781,
781*5+1=3906
So its 4

Like? Yes (1) | No (1)  

Sudipta Mukherjee   10 years AGO

1,6,(6-1)*6+1=31,(6-1)*31+1=156,(6-1)*156+1=781,(6-1)*781+1=3906

Like? Yes (1) | No (1)  

Dinesh thatti   10 years AGO

the series is follows as *5 + 1
1*5+1=6

6*5+1=31

31*5+1=156

156*5+1=781

781*5+1=3906

so answer is 3906 which is 4h option

Like? Yes (1) | No (1)  

Hitesh Kulkarni   10 years AGO

1*5+1=6
6*5+1=31
31*5+1=156
and so on
781*5+1=3906

Like? Yes (1) | No (1)  

Hanumanth Naik   10 years AGO

Given series is 1,6,31,156,781
the difference between first two numbers is 5
then 5*5=25,25+6=31
next two numbers difference is 25,25*5=125,125+31=156
next two numbers difference is 625,625*5=3125,3125+781=3906.

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Sourish Barman   10 years AGO

1*5=5+1=6
6*5=30+1=31
31*5=155+1=156
156*5=780+1=781
781*5=3905+1=3906... ANS..

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Balakumaran N.A   10 years AGO

differences: 5, 25, 125, 625, ...

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Avishek Pattanaik   10 years AGO

Add the current term with increasing power of 5 to get the next term:
1+5^1=6
6+5^2=31
31+5^3=156
156+5^4=781
781+5^5=3906

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