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?

Respuesta :

caylus
Hello,

[tex]Hello,\\\\u_{1}=\frac{1}{100}\\ u_{2}=\frac{1}{100}*20\\ u_{3}=\frac{1}{100}*20^{2}\\ u_{4}=\frac{1}{100}*20^{3}\\ \boxed{u_{n}=\dfrac{1}{100}*20^{n-1}}\\ [/tex]

Answer:

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

Step-by-step explanation:

answer is B. 0.01 x 20^n-1