Question

Write the first five terms of the sequence defined by the recursive formula an=2*(an-1)+3 with a1=-2

Answer 1

Answer:

The first five terms of the sequence are 5, 7, 9, 11 and 13.

Step-by-step explanation:

The first five terms of the sequence are:

a₁ = 2 * (2 - 1) + 3 = 2 * 1 + 3 = 2 + 3 = 5

a₂ = 2 * (3 - 1) + 3 = 2 * 2 + 3 = 4 + 3 = 7

a₃ = 2 * (4 - 1) + 3 = 2 * 3 + 3 = 6 + 3 = 9

a₄ = 2 * (5 - 1) + 3 = 2 * 4 + 3 = 8 + 3 = 11

a₅ = 2 * (6 - 1) + 3 = 2 * 5 + 3 = 10 + 3 = 13

The first five terms of the sequence are 5, 7, 9, 11 and 13.