Question

A geometric sequence is defined recursively by an=5an-1. The 1st term of the sequence is 0.45. Which of the following is the explicit formula for the nth term of sequence?

Answer 1

Answer:

$a_{n}$ = 0.45$(5)^{n-1}$

Step-by-step explanation:

the n th term of a geometric sequence is

$a_{n}$ = $a_{1}$$(r)^{n-1}$

where r is the common ratio and $a_{1}$ the first term

here $a_{1}$ = 0.45 and r = 5, hence

$a_{n}$ = 0.45$(5)^{n-1}$ ← explicit formula