a. Use mathematical induction to prove that if n is any integer with
, then for every integer
b. Prove that if n is any integer with , then for all integers r and s with .
That for every integer , for any integer , using the mathematical induction.
The integers and are given as and .
First, let’s consider when ,
Because is a given condition, is true for .
Then, let’s assume that the result is true for where .
Now, for ,
That for all integer and where for any integer .
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