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3 years ago

What is the explicit equation for f(0)=8; f(×)=f(×-1)*3

Mathematics

1 answer:

andriy [413]3 years ago

4 0

Hello from MrBillDoesMath!

Answer:

f(x) = 8 * 3^x

Discussion:

x = 0: f(x) = 8

x = 1: f(1) = f(0) * 3 = 8*3

x = 2: f(2) = f(2-1)*3 = f(1) * 3 = (8*3)*3 = 8 * 3^2

x=3 : f(3) = f(3-1)*3 = f(2)*3 = (8 * 3^2) * 3 = 8 * 3^3

Based on this we guess that

f(x) = 8 * 3^x

Thank you,

MrB

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