Question

The explicit rule for a sequence is given. an= 2/5 (5)^n−1

Answer 1

Step-by-step explanation:

A geometric series is:

an = a₁ (r)^(n-1)

Here:

an = 2/5 (5)^(n-1)

So a₁ = 2/5, and r = 5.  So an = 5an-1.

Your answer is correct, well done!