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?

A. 0.01*20n+1
B. 0.01*20n
C. 20*0.01n-1
D. 0.01*20n-1
E. 20 *0.01n

Answer 1

hello :
hello :
the nth term is : An=A1×r^(n-1)
The first term of the sequence is 0.01
r =An/an-1 =20
An =0.01(20)^n-1...(answer :D )