What is the next number of the following sequence. 4, 15, 40, 85, 156, ......

sai   9 years AGO

common difference is 6
4 15 40 85 156
11 25 45 71
14 20 26
6 6

Like? Yes (3) | No   

RAKESH   9 years AGO

2*2=4
5*3=15
10*4=40
17*5=85
26*6=156
37*7 = 259

Like? Yes (9) | No (7)  

Surit Datta   9 years AGO

2^3 - 2(2)^2 + 2(2) = 8 - 8 + 4 = 4
3^3 - 2(3)^2 + 2(3) = 27 - 18 + 6 = 9 + 6 = 15
4^3 - 2(4)^2 + 2(4) = 64 - 32 + 8 = 32 + 8 = 40
5^3 - 2(5)^2 + 2(5) = 125 - 50 + 10 = 75 + 10 = 85
6^3 - 2(6)^2 + 2(6) = 216 - 72 + 12 = 156
7^3 -2(7)^2 + 2(7) = 343 - 98 + 14 = 259
so option 7
that's it.

Like? Yes (7) | No (6)  

kranthi kanchanapally   9 years AGO

The diference between the numbers is 11,25,45,71 then the sequence is +14,+20,+26 so the next number should be 32 then 71+32=103 then 156+103=259 is the answer

Like? Yes (1) | No   

CROSSWIN   9 years AGO

Looks like the pattern is n^3 - 2(n^2) + 2n

1^3 - 2(1) + 2(1) = 1
2^3 - 2(2^2) + 2(2) = 8 - 8 + 4 = 4
3^3 - 2(3^2 )+ 2(3) = 27 - 18 + 6 = 15
4^3 - 2(4^2 )+ 2(4) = 64 - 32 + 8 = 40
5^3 - 2(5^2) + 2(5) = 125 - 50 + 10 = 85
6^3 - 2(6^2)+ 2(6)= 216- 72+12 = 156
7^3- 2(7^2)+ 2(7)= 343- 98+14= 259

So Answer is= 259

Like? Yes (2) | No (1)  

Ashwin Dinesh   9 years AGO

n×m
where n = 2,3,4,...
m = 2,5,10,17,26,37,...
So 7×37 = 259

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Testing Account   9 years AGO

1st 11,then next25,thennext 40

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sudhakar   9 years AGO

7^3-2(7)^2+2(7)=259

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Tauseef Ahmad   9 years AGO

1^3+3=4
2^3+7=15
3^3+13=40
4^3+21=85
5^3+31=156
6^3+43=259

option 7 is correct

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aman aditya   9 years AGO

next number is odd number with difference more than 71 i.e 259

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Gowtham   9 years AGO

71+32=103 so .156+103=259

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Rubanraj I   9 years AGO

series-4,15,40,85,156...
difference-11,25,45,71...
diff (diff)-14,20,26...
next will be 32
add 71+32 and
add 103+156=259

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Meenakshi   9 years AGO

1^3 + 1^2 + 1 + 1->4
2^3 + 2^2 + 2 + 1->15
3^3 + 3^2 + 3 + 1-> 40
4^3 + 4^2 + 4 + 1->85
5^3 + 5^2 + 5 + 1-> 156
6^3 + 6^2 + 6 + 1-> 259
option 7)259

Like? Yes (4) | No (3)  

b.subbarao   9 years AGO

2^2=4
3^2+1*2*3=9+6=15
4^2+2*3*4=16+24=40
5^2+3*4*5=25+60=85
6^2+4*5*6=36+120=156
7^2+5*6*7=49+210=259 so option 7 is correct answer

Like? Yes (2) | No (1)  

Pranati Kundu   9 years AGO

let n be the term
therefore 1+n+n^2+n^3=answer
1+1+1^2+1^3=4
similarly1+6+6^2+6^3=259

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Paresh   9 years AGO

difference between the nos are 11 25 45 71
difference between the above nos are 14 20 26
Their difference are 6 6
add 6 to 26=32
32+71=103
103+156=259

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vivek   9 years AGO

15-4=11
40-15=25.....25-11=14
85-40=45.....45-25=20
156-85=71...71-45=26
so next difference will be 32
x-71=32.....x=103
now, the required number is,
156+103=259

Like? Yes (1) | No   

Nitika Sharma   9 years AGO

15-4=11, 40-15=25, 85-40= 45, 156-85= 71
25-11=14, 45-25=20, 71-45= 26
20-14=6, 26-20=6
THEREFORE, NEXT will be 26+6=32
32+71= 103
103+156=259

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sreekanth   9 years AGO

The number cubed, plus n squared, plus n, plus one
initially n=1

so that 6 cubed+6 square+6+1 = 259

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narmada   9 years AGO

It is question of double difference between the numbers..... and the second difference with logic of +6....so ,
4 15 40 85 156
11 25 45 71
14 20 26
so 26+6+71=103

4 15 40 85 156 259
11 25 45 71 103

103+71=259
ans 7) 259

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Mohit   9 years AGO

this series produced another series
11,25,45,71 and this series produces an another series which is 14,20,26 so the next no. of this series is 32 so that next no.in middle series is 103 so next no.in original series is equal to 103+156=259.

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shubham sharma   9 years AGO

2^3 - 2(2)^2 + 2(2) = 8 - 8 + 4 = 4
3^3 - 2(3)^2 + 2(3) = 27 - 18 + 6 = 9 + 6 = 15
4^3 - 2(4)^2 + 2(4) = 64 - 32 + 8 = 32 + 8 = 40
5^3 - 2(5)^2 + 2(5) = 125 - 50 + 10 = 75 + 10 = 85

same for 6th term
7^3 - 2(7)^2+ 2(7) = 343 - 98 + 14 = 259

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MRITUNJAY   9 years AGO

4 15 40 85 156
11 25 45 71
14 20 26 ...32
next term is 156+71+32=259
option 7

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Madhumoy Gope   9 years AGO

4+11=15.
15+25=40
40+45=85
85+71=156
156+a=b

now,
25-11=14
45-25=20=14+6*1
71-45=26=14+6*2
so,the next should be,
a-71=14+6*3
=>a=103
so,the next no is,
b=156+103=259

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atmakuri jagadish   9 years AGO

Difference of the differences has a difference of 6

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Karthick Raja   9 years AGO

4,15,40,85,156,x

now we subtract two numbers right to left
15-4,40-15,85-40,156-85


11,25,45,71
25-11,45-25,71- 45
14,20,26
so it increase 6
next is 32

71+32 = 103

x-156=103
x=103+156
x= 259

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shaik sharina   9 years AGO

4=2^2+0
15=3^2+(1*2*3)
40=4^2+(2*3*4)
85=5^2+(3*4*5)
156=6^2+(4*5*6)
259=7^2+(5*6*7)

Like? Yes (1) | No (1)  

Aditi Tenguria   9 years AGO

1^3 - 2(1) + 2(1) = 1
2^3 - 2(2)^2 + 2(2) = 8 - 8 + 4 = 4
3^3 - 2(3)^2 + 2(3) = 27 - 18 + 6 = 9 + 6 = 15
4^3 - 2(4)^2 + 2(4) = 64 - 32 + 8 = 32 + 8 = 40
5^3 - 2(5)^2 + 2(5) = 125 - 50 + 10 = 75 + 10 = 85
.......
s0 ans is 259

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SAGNIK DATTA   9 years AGO

pattern : n^3 - 2n^2 + 2n
starting with n=2

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ANANTHI.P   9 years AGO

2*2=4
5*3=15
10*4=40
17*5=85
26*6=156
37*7=259

Like? Yes (1) | No (1)  

swetha   9 years AGO

n^3 - 2n^2 + 2n
if n=2,3,4,5,6...
result is 4, 15, 40, 85, 156, 259.... repectively

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SUSHANT KUMAR   9 years AGO

15-4=11
40-15=25
85-40=45
156-85=71

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VAGU RAGHAVA ANJANI DIVYAVANI   9 years AGO

n^3-2n^2+2n
1^3-2(1^2)+2(1)=1
2^3-2(2^2)+2(2)=4
3^3-2(3^2)+2(3)=15
4^3-2(4^2)+2(4)=40
5^3-2(5^2)+2(5)=85
6^3-2(6^2)+2(6)=156
7^3-2(7^2)+2(7)=259

Like? Yes (1) | No (1)  

SAI SURYA VAMSY   9 years AGO

the Sequence is

1^3+3 ,2^+7 ,3^3+13 ,4^3+21 ,5^3+31


AS we know that the sequence is following cubes+some number
now the logic lies is what is the logic behind those numbers
3,7,13,21,31

that is
3+2*2=7
7+3*2=13
13+4*2=21
14+5*2=31

so the number is

6^3+(31+6*2)=216+43=259

Like? Yes (1) | No (1)  

lovely verma   9 years AGO

Its a three line number series...
4, 15, 40, 85, 156, ? ?
Ist line number differnces are:-
15-4=11, 40-15=25, 85-40=45, 156-85=71
next line series:-
11, 25, 45, 71, ?
Now 2nd line number differences are:-
25-11=14, 45-25=20, 71-45=26
series:- 14, 20, 26, ?
Third line differences are:-
20-14=6, 26-20=6
that is 6,6, ?
then again it will be 6
now we will add 6 => 26+6=32
second line series are:- 14, 20, 26, 32
So we will add 32 in 71 then it become 103
11, 25, 45, 71, 103,...
Now the first series will be:- (156+103=259)
4, 15, 40, 85, 156, 259, ........................ ans

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moumita   9 years AGO

15-4=11,40-15=25, 85-45=45, 156-85=71, 259-156=103
11-25=14, 45-25=20, 71-45=26, 103-71=32
20-14=6, 26-20=6, 32-26=6
Ans(7) 256

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Shiva Teja   9 years AGO

The series is (n)^3+(n)^2+n+1
For n=1 (1)^3+(1)^2+1+1=4
For n=2 (2)^3+(2)^2+2+1=15
For n=3 (3)^3+(3)^2+3+1=40
For n=4 (4)^3+(4)^2+4+1=85
For n=5 (5)^3+(5)^2+5+1=156

Therefore the series is 4,15,40,85,156.....

The next(6th) number is for n=6,
The next number is
(6)^3+(6)^2+6+1=259

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shabana banu shaik   9 years AGO

diff b/w the numbers is 11,25,45,71,103 and again diff b/w the above nmbers is 14,20,26,32 wher we fynf common difference as 6....so 103+156=259

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Ruchi Kumari   9 years AGO

Looks like the pattern is
n^3 - 2n^2 + 2n
1^3 - 2(1) + 2(1) = 1
2^3 - 2(2)^2 + 2(2) = 8 - 8 + 4 = 4
3^3 - 2(3)^2 + 2(3) = 27 - 18 + 6 = 9 + 6 = 15
4^3 - 2(4)^2 + 2(4) = 64 - 32 + 8 = 32 + 8 = 40
and so on

Like? Yes (1) | No (1)  

munagala vasu   9 years AGO

2*2+0=4

3*2+(1*2*3)=15

4*2+(2*3*4)=40

5*2+(3*4*5)=85

6*2+(4*5*6)=156
7*2+(5*6*7)=259

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Anuradha   9 years AGO

the pattern followed is: n^3 - 2n^2 + 2n
2^3 -2*2^2 + 2 *2=8-8+4=4
3^3- 2*3^2+ 2*3=27-18+6=15
4^3 - 2*4^2+ 2*4=64-32+8=40
5^3 - 2*5^2+ 2*5=125-50+10=85
6^3 - 2*6^2+ 2*6=216-72+12=156
7^3 - 2*7^2+ 2*7=343-98+14=259

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Dileepkumar Palli   9 years AGO

(1^2)*(1+1)+2=4.
(2^2)*(2+1)+3=15.
(3^2)*(3+1)+4=40.
(4^2)*(4+1)+5=85.
(5^2)*(5+1)+6=156.
(6^2)*(6+1)+7=259

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paavai   9 years AGO

It follows the sequence n^3-2n^2+2n
if n=2,2^3-(2*(2^2))+(2*2)=8-8+4=4
if n=3,3^3-(2*(3^2))+(2*3)=27-18+6=15
if n=4,4^3-(2*(4^2))+(2*4)=64-32+8=40
if n=5,5^3-(2*(5^2))+(2*5)=125-50+10=85
if n=6,6^3-(2*(6^2))+(2*6)=216-72+12=156
thus if n=7,7^3-(2*(7^2))+(2*7)=343-98+14=259

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Ehtesham   9 years AGO

the difference of difference of this series element is increasing by 6 every time .so last term will be:

26+6=32
32+71=103
so the number is : 156+103=259

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naveensagar   9 years AGO

differences b/w given series is 11,25,45,71,X and the diff b/w above series is 14,20,26 and next num must be 32 so X=71+32=103 there fore the next number is 156+103=259

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rakesh   9 years AGO

4 , 15 , 40 ,85, 156, _

4/2 = 2, 15/3=5, 40/4=10, 85/5 =17, 156/6=26 , ?

1^2+1,2^2+1,3^2+1,4^2+1,5^2+1,(IT SHOULD BE 6^2+1 NEXT TERM)

so 2,5,10,17,26,37

4/2 = 2, 15/3=5, 40/4=10, 85/5 =17, 156/6=26 , 259/7 = 37

so answer is 259

option 7

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Brijesh Rawat   9 years AGO

4,15,40,85,156,259
11,25,45,71,103
14,20,26,32
6,6,6

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Abhishek Ranjan   9 years AGO

difference of difference of next no is increasing by 6

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Sushil Singh   9 years AGO

1 x1 = 1
2 x 2 = 4
3 x 5=15
4 x 10 =40
5 x 17 = 85
6 x 26 =156
7 x 37 =259

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ankit kamboj   9 years AGO

1^3 + 1^2 + 1 + 1 =====4
2^3 + 2^2 + 2 + 1 ======15
3^3 + 3^2 + 3 + 1 ===== 40
4^3 + 4^2 + 4 + 1 =======85
5^3 + 5^2 + 5 + 1====== 156
6^3 + 6^2 + 6 + 1 ====== 259

Like? Yes (1) | No (1)  

sandhya rani   9 years AGO

2^3 - 2(2)^2 + 2(2) = 8 - 8 + 4 = 4
3^3 - 2(3)^2 + 2(3) = 27 - 18 + 6 = 9 + 6 = 15
4^3 - 2(4)^2 + 2(4) = 64 - 32 + 8 = 32 + 8 = 40
5^3 - 2(5)^2 + 2(5) = 125 - 50 + 10 = 75 + 10 = 85
6^3 - 2(6)^2+2(6)=216-72+12=156
7^3-2(7)^2+2(7)=259
so 259 is answer which is option 7

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Aritra Chongdar   9 years AGO

the next no is 259
156+32+71=259

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Sundar Kumar   9 years AGO

sequence pattern is n^3 - 2n^2 + 2n

1^3 - 2(1) + 2(1) = 1
2^3 - 2(2)^2 + 2(2) = 8 - 8 + 4 = 4
3^3 - 2(3)^2 + 2(3) = 27 - 18 + 6 = 9 + 6 = 15
4^3 - 2(4)^2 + 2(4) = 64 - 32 + 8 = 32 + 8 = 40
5^3 - 2(5)^2 + 2(5) = 125 - 50 + 10 = 75 + 10 = 85
6^3- 2(6)^2 + 2(6) = 216 - 72 + 12 = 156
7^3- 2(7)^2 + 2(7) = 343 - 98 + 14 = 259

Therefore , Answer Option: 7) 259

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kalyani   9 years AGO

2^3 - 2(2)^2 + 2(2) = 8 - 8 + 4 = 4
3^3 - 2(3)^2 + 2(3) = 27 - 18 + 6= 15
4^3 - 2(4)^2 + 2(4) = 64 - 32 + 8 = 40
5^3 - 2(5)^2 + 2(5) = 125 - 50 + 10 = 85
6^3 - 2(6)^2 + 2(6) = 216- 72 + 12 = 156
7^3 - 2(7)^2 + 2(7) = 343- 98 + 14 = 259

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swastik   9 years AGO

it is a series of n^3-2n^2+2n

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sivaramakrishna   9 years AGO

4 15 40 85 156 (259)
11 25 45 71 (103)
14 20 26 (32)

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kishore   9 years AGO

difference between the numbers
and again the difference between these
4 15 40 85 156...
11 25 45 71
14 20 26
Now the series is increasing at a 6 diff so next diff number is 32
then 71 + 32 = 103
so 156 + 103 = 259
so the next number

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ravi singh   9 years AGO

2^3 - 4*(1) =4
3^3 - 4*(1+2)=15
4^3 - 4*(1+2+3)=40
5^3 - 4*(1+2+3+4)=85
6^3 - 4*(1+2+3+4+5)=156
7^3 - 4*(1+2+3+4+5+6)=259

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siddharth prakash singh   9 years AGO

4, 15, 40, 85, 156
4+11=15
15+25=40
40+45=85
85+71=156
now 11+14=25
25+20=45
45+26=71
so now, ans=156+(71+26+6)=156+103=259

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