What is the next number of the following sequence 10, 16, 26, 41, 62, .....

Sundar Kumar   10 years AGO

10, 16, 26, 41, 62, .....

10, 10+6=16,16+(6+4)=26,26+(10+5)=41,41+(15+6)=62, 62+(21+7)=90
answer: option : 9)90

Like? Yes (41) | No (29)  

Vishal Chugh   10 years AGO

The difference between successive numbers in the series is
16 - 10 = 6
26 - 16 = 10
41 - 26 = 15
62 - 41 = 21
Thus the difference between these differences is in series 4, 5, 6
Therefore the next difference should be equal to
21 + 7 = 28
and 62 + 28 = 90

Like? Yes (7) | No (4)  

Smriti   10 years AGO

16 = 10 + 6 = 10 + 1 + 2 + 3
26 = 16 + 10 =16 + 1 + 2 + 3 + 4
41 = 26 + 15 = 26 + 1 + 2 + 3 + 4 + 5
62 = 41 + 21 = 41 + 1 + 2 + 3 + 4 + 5 + 6

Next number = 62 + 28 = 62 + 1 + 2 + 3 + 4 + 5 + 6 + 7 = 90

Like? Yes (8) | No (6)  

SUMIT   10 years AGO

16-10=6
26-16=6+4=10
41-26=10+5=15
62-41=15+6=21
so x-62=21+7=90
and x=90

Like? Yes (1) | No   

Dinesh kumar   10 years AGO

10+6=16
16+(6+4)=26
26+(10+5)=41
41+(15+6)=62
62+(21+7)=90
Hence ans is 90.......

Like? Yes (3) | No (2)  

GAJENDRA SINGH PANWAR    10 years AGO

16-10=6
26-16=10
41-26=15
62-41=21
Then, we have 6, 10, 15, 21
So the next sequence number will be 28.
After adding 28 to 62 we will get 90.
So, answer is 90.

Like? Yes (2) | No (1)  

anusha   10 years AGO

10 16 26 41 62 x
6 10 15 21 y
4 5 6 7
y=21+7=28
x=62+28=90

Like? Yes (3) | No (2)  

Pradeep   10 years AGO

90 as {10+6=16;; 16+10=26;;26+15=41;; 41+21=62;; ? ;; the added numbers 6,10,15,21,? diff is 4,5,6,? next shud be 7 so 21+7=28;; 62+28=90}

Like? Yes (1) | No   

priyanka    10 years AGO

difernces bt nubers...
diff 6 b/w 10 nd 16
diff 10 b/w 16 nd 26
diff 15 b/w 41 nd 26

diff 21 b/w 62 nd 41
nxt diff 28 b/w 90 nd 62...
bcz in differnces bw their diff are 5,6,7...
62+28=90

Like? Yes (1) | No   

JANARTHANAN RAM   10 years AGO

10+6=16;
16+10=26;
26+15=41;
41+21=62;
62+28=90;

Like? Yes (3) | No (2)  

Ravi Bhalani   10 years AGO

10 16 26 41 62 90
6 10 15 21 28
4 5 6 7

Like? Yes (1) | No   

Divyshri Jain   10 years AGO

16-10 =6
26-16=10
41-26=15
62-41= 21

6, 10, 15, 21
10-6= 4
15-10=5
21-15 = 6

4, 5, 6 is an increasing AP with d= 1 and a= 4
so next term is 7
ie 21+7= 28

so nxt term is 28+62= 90
hence the answer is 90

Like? Yes (3) | No (2)  

saira fatma   10 years AGO

16-10=6
26-16=10
41-26=15
62-41=21
THUS 2ND SERIES FORMED=6,10,15,21
DIFFERENCE=10-6=4
15-10=5
21-15=6
THUS NEXT NO DIFEERENCE=7
THUS 28-21=7
HENCE,62+28=90ANS

Like? Yes (3) | No (2)  

Grishma Shah   10 years AGO

10 16 26 41 62 90
6 10 15 21 28
4 5 6 7

Like? Yes (4) | No (3)  

sompon temtheerakij   10 years AGO

ans 9) 90
16 - 10 = 6
26 - 16 = 10
41 - 26 = 15
62 - 41 = 21
90 - 62 = 28

Like? Yes (1) | No   

krishna kanth   10 years AGO

difference sum is increasing constantly as
6,10,15,21
4,5,6,7
so next difference should be 28 then number is 90

Like? Yes (1) | No   

sangita kumari   10 years AGO

10+6=16
16+10=26;.....6+4=10
26+15=41;.....10+5=15
41+21=62;.....15+6=21
then .........21+7=28,...so
62+28=90

Like? Yes (5) | No (4)  

mansi garg   10 years AGO

6+4=10 10+5=15 15+6=21 21+7=28

10+6=16
16+10=26
26+15=41
41+21=62
62+28=90

Like? Yes (3) | No (3)  

Saraswathy   10 years AGO

10---16---26---41---62---x
---6---10---15---21----y
-----4----5----6----7

y = 21+7 = 28
x = 62+28 = 90

Ans : 90 (Option 9)

Like? Yes (6) | No (6)  

Varunraj Reddy   10 years AGO

10, 16, 26, 41, 62, .....
Difference between these numbers are
6,10,15,21,...
Again difference is
4,5,6,....
So next difference is 7
So 21+7=28
So next number=62+28=90

Answer Option 9)

Like? Yes (3) | No (3)  

RAKESH   10 years AGO

62+28=90

Like? Yes (2) | No (2)  

Bholanath    10 years AGO

16-10=6
26-16=10--->10-6=4
41-26=15--->15-10=5
62-41=21--->21-15=6
x-62=28---->28-21=7
so, x=90

Like? Yes (2) | No (2)  

ANJIREDDY   10 years AGO

10 16 26 41 62 (90)
6 10 15 21 (28)
4 5 6 7

Like? Yes (2) | No (2)  

Saranjit Singh   10 years AGO

10, 16, 26, 41, 62,
--6,10,15,21
---4,5,6,7
next no will be 62+28=90

Like? Yes (3) | No (3)  

Satyaki    10 years AGO

DIFFERENCE BETWEEN SUCCESSIVE NUMBERS IS -
6,10,15,21....
NOW,
6=1+2+3
10=1+2+3+4
.
.
.
SIMILARLY NEXT DIFFERENCE WILL BE,
1+2+3+4+5+6+7 = 28
SO, 62+28 = 90 IS THE ANSWER.

Like? Yes (2) | No (2)  

Gaurav Kumar   10 years AGO

Difference is 6 10 15,21 all have differences of 4,5,6 o the next difference will be 21+7=28.So 62+28=90

Like? Yes (2) | No (2)  

NITIN KUMAR GOYAL   10 years AGO

difference between numbers are 6 10 15 21 27

Like? Yes (2) | No (2)  

Amrita priyadarshi   10 years AGO

difference between numbers of series are 6,10,15,21...
here we can see that difference are increasing by 1.
like: 10-6=4
15-10=5
21-15=6
hence next number will have a difference of 21+7=28
i.e. 62+28=90
hence 90 will be the answer.

Like? Yes (2) | No (2)  

nigarashraf   10 years AGO

16-10=6
26-16=10
41-26=15
62-41=21
so, 6,10,15,21 is the new series
10-6=4
15-10=5
21-15=6
so,next difference will be 7
7+21=28
28+62=90
so using difference twice this series can be solved

Like? Yes (2) | No (2)  

VENKATESH V C   10 years AGO

16-10=6 3*2=6
26-16=10 5*2=10
41-16=15 5*3=15
62-41=21 7*3=21
so
7*4=28
28+62=90
is d answer

Like? Yes (2) | No (2)  

Dinesh thatti   10 years AGO

16-10 =6 \
4
26-16=10 /
5
41-26=15 /
6
62-41=21 /
7
90-62=28

so answer is 90

Like? Yes (2) | No (2)  

Saroj kumar   10 years AGO

10 16 26 41 62 a
Diff. 6 10 15 21 a-62
Diff. 4. 5. 6 7

Soln: a-62-21=7
Or, a=90....

Like? Yes (2) | No (2)  

Debashis Dey   10 years AGO

10*1+6=16
16*1+10=26
26*1+15=41
41*1+21=62 similarly
62*1+28=90 since 6+4=10 10+5=15 15+6=21 21+7=28 (4,5,6,7 are in a.p. with common difference 1)

Like? Yes (3) | No (3)  

Vishal   10 years AGO

The difference between sequence (10,16,26,41,62....) is (6,10,15,21).
the difference between this series (6,10,15,21) is (4,5,6).
So, the difference is increasing by 1.
Thus the last difference must be 7.
Hence the result will be 90

Like? Yes (2) | No (2)  

dev kumar   10 years AGO

16=10+(6)
26=16+(6+4)
41=26+(6+4+5)
62=41+(6+4+5+6)
next = 62+(6+4+5+6)

Like? Yes (2) | No (2)  

Aalvin   10 years AGO

16-10=6
26-16=10
41-21=15
62-41=21
diff between 6,10,15,21.... follows the sequence 4,5,6,7,.....

Like? Yes (2) | No (2)  

dheeraj   10 years AGO

16-10 = 6
26-16 = 10
41-26 = 15
62-41 = 21

diff== 4,5,6
next diff will be 7...
21+7 = 28..
next no.
62+28 = 90..

Like? Yes (2) | No (2)  

Sonu Khandelwal   10 years AGO

16-10=6
26-16=10
41-26=15
62-41=21
Difference between these ans. is 4,5,6 so now difference comes 7 so new answer is 62+21+7=90

Like? Yes (2) | No (2)  

vamshikrishna kuruva   10 years AGO

16-10=6
26-16=10
41-26=15
62-41=21
again
10-6=4
15-10=5
21-15=6
so next number is 21+7=28
hence the series would be
62+28=90

Like? Yes (2) | No (2)  

MRITUNJAY KUMAR   10 years AGO

10, 16, 26, 41, 62,90...
6, 10, 15 ,21,28, .
0ption 9)

Like? Yes (2) | No (2)  

Brijesh Rawat   10 years AGO

10+6=16
16+6+4=26
26+6+4+5=41
41+6+4+5+6=62
62+6+4+5+6+7=90

Like? Yes (2) | No (2)  

V SARATH KUMAR   10 years AGO

for each successive numbers we add 6,10,15,21
we get the above sequence by adding 4,5,6 successively and in this way next number is 7,so on adding 7 to 21 we get 28.Now we have to add 28 to 62 to get 90 as the answer...

Like? Yes (2) | No (2)  

Parmeet Singh Pahwa   10 years AGO

16-10=6
26-16=10
41-26=15
62-41=21
90-62=27

the difference is incremented by 1

Like? Yes (2) | No (2)  

Satish Zod   10 years AGO

16 = 10 + 6
26 = 16 + 6 + 4
41 = 26 + 6 + 4 + 5
62 = 41 + 6 + 4 + 5 + 6
90 = 62 + 6 + 4 + 5 + 6 + 7

Like? Yes (2) | No (2)  

Raman   10 years AGO

62+28=90

Like? Yes (3) | No (3)  

manikanta   10 years AGO

the difference between the two consequative numbers are like in the order of 6,10,15,21 so the next number is must be add 28 to last number...
so the answer is 62+28=90

Like? Yes (2) | No (2)  

nagarajarao   10 years AGO

diff series .....6 ,10, 15 ,21, 28

Like? Yes (2) | No (2)  

Tark Patel   10 years AGO

16 - 10 = 6 ,
26 - 16 = 10 (6 + 4 = 10),
41 - 26 = 15 (10 + 5 = 15),
62 - 41 = 21 (15 + 6 = 21)
so next will be,
62 + 28 = 90 (21 + 7 = 28 which is difference of 90 and 62).
Hence answer is 90

Like? Yes (2) | No (2)  

Nitin   10 years AGO

difference b/w no is increasing by 1

Like? Yes (2) | No (2)  

Shashi nath jha   10 years AGO

10 16 26 41 62
6 10 15 21
4 5 6
1 1
1+6+21+62=90 ans

Like? Yes (2) | No (2)  

santhosh   10 years AGO

difference between each number are 6,10,15,21 and next one is 28

so add 28+62=90

Like? Yes (2) | No (2)  

Vinoth Kumar   10 years AGO

differnce between the consecutive numbers increases by 1

Like? Yes (2) | No (2)  

Ramesh Sriram   10 years AGO

Difference is
6,10,15,21 next will be 28
because difference increase by 1
i,e
4,5,6,next 7
hence next number is 90

Like? Yes (4) | No (4)  

Tushar Kale   10 years AGO

the difference between differences of number increases by 1

Like? Yes (2) | No (2)  

Sneha Goel   10 years AGO

16-10=6
26-16=10 ( 10-6=4)
41-26=15 (15-10=5)
62-41=21 (21-15=6)
90-62=28 (28-21=7)

Like? Yes (2) | No (2)  

Pranav Verma   10 years AGO

10+6=16
16+6+4=26
26+10+5=41
41+15+6=62
62+21+7=90

Like? Yes (2) | No (2)  

Arpit khandelwal   10 years AGO

10+6=16
16+10=26
26+15=41
41+21=62
62+28=90

Like? Yes (2) | No (2)  

indrajeet singh   10 years AGO

16-10=6
26-16=10
41-26=15
62-41=21
x-62=28 ; hence next term will be 90

Like? Yes (2) | No (2)  

KarishmaKatam   10 years AGO

the difference b/w numbers is 6,10,15,21,28 so answer is 90

Like? Yes (2) | No (2)  

shahin raza   10 years AGO

16-10=6
26-16=6+4=10
41-26=10+5=15
62-41=15+6=21
so next will be 62+(21+7)=62+28=90

Like? Yes (3) | No (3)  

RAJIV   10 years AGO

10+6=16
16+10=26
26+15=41
41+21=62
62+28=90

Like? Yes (2) | No (2)  

sivagami   10 years AGO

because 10-16=6,26-16=10,41-26=15,62-41=21
and then we will get 6,10,15,21,
10-6=4,15-10=5,21-15=6
we will get 4,5,6 then next number will be 7,so after 21,s8 will come,then 62=28=90
so ans is 90

Like? Yes (2) | No (2)  

NITESH KUMAR   10 years AGO

16-10=6;
26-16=10;
41-26=15;
62-41=21;
difference between new numbers is 1 greater than than the previous difference .therefore the difference now become 28.
number is 62+28=90

Like? Yes (2) | No (3)  

rahi   10 years AGO

10,16,26,41,62
diff between 16 and 10 is 6
then 26 is written as 16+6+4
41 is written as 26+6+4+5
62 is written as 41+6+4+5+6
hence
90 is written as 62+6+4+5+6+7

Like? Yes (2) | No (3)  

Ashwin Dinesh   10 years AGO

6, 10, 15, 21 numbers are added...
So next number that should be added is 28.
So 62 + 28 = 90.

Like? Yes (3) | No (4)  

abhilash kumar   10 years AGO

10 16 26 41 62
First order difference
6 10 15 21
Second order difference
4 5 6 7 and so on
So 21+7=28
62+28=90

Like? Yes (2) | No (3)  

Md Akhtar Husain   10 years AGO

+6 +10 +15 +21 ?=+27
(+4) (+5) (+6) (+7)

Like? Yes (2) | No (3)  

kapil singh   10 years AGO

62+28=90

Like? Yes (2) | No (3)  

Kaustubh karekar   10 years AGO

the difference increase by 1
last difference was 6 so now it will be 7
so 21+7=28
and 28+62=90
ans=90

Like? Yes (2) | No (3)  

Anish Mathur   10 years AGO

gape between nmbers 10 and 16 are 6
16 and 26 gaps=10
26 and 41 gaps=15
41 and 62 gaps 21
then
gap between 6 and 10 are 4
gap between 10 and 15 are 5
gaps between 15 and 21 are 6
so gap between 21 and 28 are 7
so we can add 28 in number 62
so answer is 90

Like? Yes (2) | No (4)  

Sourojit Dhua   10 years AGO

|10-16|, |16-26|, |26-41|, |41-62|, |62-x|
6 , 10 , 15 , 21 , 62-x
Now,
6-10, 10-15, 15-21, 21-62+x
diff= 4 , 5 , 6 , 7

hence, 21+7=28
and 62+28= 90

Like? Yes (17) | No (29)