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Let f(n) = 2^n + 1. Show, by induction, that f(n) is an odd number for all integ...

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Let f(n) = 2^n + 1. Show, by induction, that f(n) is an odd number for all integer n. 

Base case:

When n = 1, f(n) = f(1) = 2^1 + 1 = 2 + 1 = 3, which is an odd number. 

Inductive step:

Hypothesis: 

Assume that f(n) is an odd number for n ____ 1. ....

 

** Fill in the blank using a relationship. If you want to write "greater than and equals to", use ">=". The same goes for "less than and equals to" using "<=".

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