Hello, rugbygirl2!

Evidently, this sequence begins with

Verify . . . True!Prove: .

Assume

Add to both sides:

. .

We must show that the right side is the right side of

. . which is: . .[1]

The right side is: .

Factor: .

. . . .

. . . . . which equals [1]

Our inductive proof is complete . . .