Question

Write the first five terms of the sequence defined by the recursive formula a_n=2*(a_n-1)+5 with a_1=-3

Answer 1

[AI-generated answer — Bot GPT 3.5]

The first five terms of the sequence are:

a_1 = -3
a_2 = 2*(a_1) + 5 = 2*(-3) + 5 = -6 + 5 = -1
a_3 = 2*(a_2) + 5 = 2*(-1) + 5 = -2 + 5 = 3
a_4 = 2*(a_3) + 5 = 2*(3) + 5 = 6 + 5 = 11
a_5 = 2*(a_4) + 5 = 2*(11) + 5 = 22 + 5 = 27