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

question 16

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