Hello, aloufy!

I will assume you already know the basics of Induction.

I'll do a few of these . . .

Verify . . . true!Prove by mathematical induction:

Assume

Add to both sides:

. .

On the right side, factor: .

And we have:

. .

And we shown that is true.

. . The inductive proof is compete.

is divisible by 24

Verify . . . True!

Assume for some integer

Add to both sides: .

. . The left side is: .

. . The right side is: .

Therefore, we have proved

. . The inductive proof is complete.