Hello, Nichelle!

We can find the limit with straight Algebra . . .

List the first few terms . . .14] Let and for

Prove that converges and find it's limit.

. . . . . . . . . .

. . . . . . . . . . . . . . . This is

So we have: .

Square both sides: .

We have a quadratic: .

. . which factors: .

. . and has the positive root: .

Therefore: . . . . obviously, the sequence conveges.

Edit: Sorry ... I had averystupid typo ... corrected now.