Question

A sequence is defined by g(1) = 3 and g(n) = 2 • g(n-1) for n > 0. Which statement defines the nth term of g?

A. G(n) = 3 + 2(n-1) for n ≥ 1
B. G(n) = 3 + 2n for n ≥ 1
C. G(n) = 3 • 2^n-1 for n ≥ 1
D. G(n) = 3 • 2^n for n ≥ 1

Answer 1

because g(n) = 2.g(n - 1) => this is a geometric progression

=> g(n) = 3.2^(n-1)

Explanation: