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3 years ago

What is f(5) if f(1)=3.5 and f(x+1)=5\2 f(x)

Mathematics

1 answer:

katen-ka-za [31]3 years ago

4 0

Answer:

f(5) = 136.71875‬

Step-by-step explanation:

f(5) if f(1)=3.5 and f(x+1)=5\2 f(x)

f(2) = (5/2)* f(1) = (5/2)* 3.5 = 8.75

f(3) = (5/3)*f(2) =(5/2) * 8.75

f(4) = (5/3)*f(3) =(5/2)*(5/2) * 8.75

f(5) = (5/3)*f(4) = (5/3)*(5/2)*(5/2) * 8.75

f(5) = (5/2)^4 * 3.5 = (625/16) * 3.5 = 136.71875‬

f(5) = 136.71875‬

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