Question

What is the 2nd difference for 7,16,31,52,79....
a) 6
b) 15
c) 23
d) 32

Answer 1

To find the 2nd difference in the given sequence, subtract each term from the term just before it and then subtract those differences from each other. The 2nd differences increase by 6 every time. The 2nd difference for the given sequence is 33.

Step-by-step explanation:

To find the 2nd difference in the given sequence 7, 16, 31, 52, 79, we subtract each term from the term just before it and then subtract those differences from each other:

16 - 7 = 9

31 - 16 = 15

52 - 31 = 21

79 - 52 = 27
The 2nd differences are therefore: 9, 15, 21, 27. We notice that each difference increases by 6 every time. Thus, the 2nd difference for the given sequence is 27 + 6 = 33. Therefore, the answer is (d) 32.