MaritC520184 MaritC520184

25-10-2022
Mathematics

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f(1)=-12 and f(n)=2f(n-1) then find the value of f(6).

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MakaleF506693 MakaleF506693

25-10-2022

Notice that from the definition of f(n):

[tex]f(6)=2f(5)=2(2f(4))=2(2(2f(3)))=2(2(2(2f(2))))=2(2(2(2(2f(1)))))\text{.}[/tex]

Therefore:

[tex]f(6)=2^5f(1)=2^5(-12)=32(-12)=-384.[/tex]

Answer:

[tex]f(6)=-384.[/tex]

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