Solve the Problem $a _ { n } = 0.02 ( 2 ) ^ { n - 1 }$

Multiple Choice

Solve the problem.
-Suppose that an individual is paid $0.02 on day 1 and every day thereafter, the payment is doubled.
a. Write a formula for the nth term of a sequence that gives the payment (in $) on day n.
b. How much will the individual earn on day 10? day 20?

A) a. $a _ { n } = 0.02 ( 2 ) ^ { n - 1 }$
b. $\$ 10.24$ on day $10 , \$ 10,485.76$ on day 20
B) a. $a _ { n } = 0.02 ( 2 ) ^ { n }$
b. b. $\$ 40.94$ on day $10 , \$ 41,943.02$ on day 20
C) a. $a _ { n } = 0.02 ( 2 ) ^ { n - 1 }$
b. $\$ 20.46$ on day $10 , \$ 20,971.5$ on day 20
D) a. $a _ { n } = 0.02 ( 2 ) ^ { n }$
b. b. $\$ 20.48$ on day $10 , \$ 20,971.52$ on day 20