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Can someone help me with number 15

Can someone help me with number 15-example-1

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Answer:

Explanation:

We will evaluate that with n values starting at 1 and ending at 5. To do that, simply replace the exponent n with 1, then 2, then 3, then 4, then 5.


f(1)=((2)/(3))^1 so


f(1)=(2)/(3)

Then f(2):


f(2)=((2)/(3))^2 simplifies a bit so maybe it's easier to see how to handle this:


f(2)=((2^2)/(3^2)) so


f(2)=(4)/(9)

Then f(3):


f(3)=((2^3)/(3^3))=(8)/(27)

And f(4):


f(4)=((2^4)/(3^4))=(16)/(81)

And finally, f(5):


f(5)=((2^5)/(3^5))=(32)/(243)

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