Question

a geometric sequence is defined recursively by an = 20an-1. the first term of the sequence is 0.01. which of the following is the explicit formula for the nth term of the sequence?

Answer 1

a. 0.01 x 20^n

b. 0.01 x 20^n-1

c. 20 x 0.01^n-1

d. 0.01 x 20^n+1

e. 20 x 0.01^n

Explanation:

answer is B. 0.01 x 20^n-1

Answer 2

Hello,


`Hello,\\\\u_(1)=(1)/(100)\\ u_(2)=(1)/(100)*20\\ u_(3)=(1)/(100)*20^(2)\\ u_(4)=(1)/(100)*20^(3)\\ \boxed{u_(n)=(1)/(100)*20^(n-1)}\\`