Question

Find the second, fifth, and ninth terms of the sequence.
an = -7 + (n - 1) 4

Answer 1

- 3, 9, 25

Explanation:

To find the required terms of the sequence substitute n = 2, 5, 9 into the given rule, that is

`a_(2)` = - 7 + (2 - 1)4 = - 7 + (1 × 4) = - 7 + 4 = - 3

`a_(5)` = - 7 + (5 - 1)4 = - 7 + (4 × 4) = - 7 + 16 = 9

`a_(9)` = - 7 + (9 - 1)4 = - 7 + (8 × 4) = - 7 + 32 = 25