Question

Work out the next term of this quadratic sequence
6 9 15 24 _

Answer 1

36.

Explanation:

The differenes in the terms are 3, 6, 9 so the next difference is 12.

24 + 12 = 36.

Answer 2

36

Explanation:

Every next term is added by a multiple of 3

6 + 3 = 9

9 + ( 3 × 2 ) = 15

15 + ( 3 × 3 ) = 24

24 + ( 3 × 4 ) = 36