Question

an =2 x (an-1) + 5 with a1 = -3 first 5 terms defined by recursive formula

Answer 1

Compute step by step:

- a1 = -3
- a2 = 2·(-3) + 5 = -1
- a3 = 2·(-1) + 5 = 3
- a4 = 2·3 + 5 = 11
- a5 = 2·11 + 5 = 27

First five terms: -3, -1, 3, 11, 27.

(Closed form: a_n = 2^n − 5, which indeed gives these values.)