Prove Theorem 9.1.1. (Let m be any integer and prove the theorem by mathematical induction on n.)
Proof of the given theorem by mathematical induction on .
A theorem is given as, If are integers and , then there are integers from inclusive
Let’s say which denotes the above formula.
Proof by induction:
The base case:
show that the statement holds for .
There is total number between .
Hence, base condition is proved.
Inductive step for :
Show that if holds then also holds.
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