Question

What are the five terms of the sequence for a_(1)=-2 and a_(n)=2a_(n-l)+5 if n>=2

Answer 1

The five terms of the sequence for a_1 = -2 and a_n = 2a_(n-1) + 5 if n >= 2 are:

1. a_1 = -2
2. a_2 = 2a_1 + 5 = 2 * (-2) + 5 = 1
3. a_3 = 2a_2 + 5 = 2 * 1 + 5 = 7
4. a_4 = 2a_3 + 5 = 2 * 7 + 5 = 19
5. a_5 = 2a_4 + 5 = 2 * 19 + 5 = 43