Question

Find the next two terms in this sequence.


1,2,5,10,17, [??],[??]

Answer 1

26, 37

Explanation:

2-1 = 1. 5-2 =3. 10 - 5 = 5. 17 - 10 = 7.

notice how the differences are 1, 3, 5, 7?

there's a gap of 2 between each difference.

so, let's call our next two terms in the sequence a and b.

a - 17 = (7+2).

a - 17 =9.

a = 26.

b - 26 = (9 +2).

b - 26 = 11.

b = 37.

so, next two terms are 26 and 37