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On day 1, the penalty is $0.01. On day 2, the penalty is $.02. On day 3 the penalty was $.04, on day 4 the penalty was $.08. Doubling in amount each additional day late, what is the equation?

Respuesta :

altavistard

Answer:

a(n) = $0.01*2(n - 1)

Step-by-step explanation:

Let a(n) represent the nth term of this geometric sequence.  The common ratio is 2 (which comes from "doubling."

Then the desired formula is a(n) = $0.01*2(n - 1).

Check:  Day 1:  a(1) = $0.01*2(1 - 1) = $0.01

             Day 2:  a(2) = $0.01*2(2 -1) = $0.02

              Day 3:  a(3) = $0.01*2(3 - 1) = $0.04

and so on

... which shows that this formula is valid

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