Question

complete the series

7,11,17,25,35,47

Answer 1

The series is : 7,11,17,25,35,47,61,77.....

Explanation : Consider the difference of each term and their consecutive term in the given series.
11-7 =4
17-11=6
25-17=8
And so on...
Means the difference of the terms are in arithmetic series with common difference 2.
Last two terms. 47 and 35.
47-35=12.
So the nxt difference will be 12+2=14.
Therefore nxt term is 47+14=61
And the nxt difference is 14+2=16
So nxt term is 61+16=77 and so on....
Therefore the series is:
7,11,17,25,35,47,61,77....