Question

What is the next term im the series:3,8,18,35,61,?​

Answer 1

answer is 98

3,8,18,35,61

8-3=5

18-8=10

35-18=17

61-35=26

5,10,17,26

difference:5,7,9,11

Answer 2

The next no. is 98.

The difference between adjacent numbers are,

8-3=5

18-8=10

35-18=17

Again the find the difference between the numbers in the series 5,10,17,26

10-5=5

17-10=7

we can see that the series 5,7 are at an equal difference of 2 each,thus next no. in this sequence is 9

add this 9 to 17 obtained above, thus 9+17=26.

add this 26 to 35 in the given question series, 35+26=61.

we can check the remaining by,

61-35=26

98-61=37 from the first series

From the above,26-17=9,37-26=11.

They also are at common difference of 2 each.

The answer sequence is

3,8,18,35,61,98.