a geometric sequence is defined recursively by an = 6an-1.

Question

The first term of the sequence is 0.75. Which of the following is the explicit formula for the nth term of the sequence

A. a_n = 6 x 0.75^(n-1)

B. a_n = 0.75 x 6⁽ⁿ⁺¹⁾

C. a_n = 0.75 x 6^(n-1)

D. a_n = 6 x 0.75ⁿ

^E. a_n = 0.75 x 6ⁿ

Answer 1

Learn the formula!

a_n = a₁(r)^n-1