The sequence (an) is defined inductively (or recursively) by an1 = 6 and an+1 = (sqrt)(4an + 5) for n >= 1.

(a) Use the Principle of Mathematical Induction to prove that the sequence (an) bounded above by 6.

(b) Use the Principle of Mathematical Induction to prove that the sequence (an) is bounded below by 5.

(c) Use the Principle of Mathematical Induction to prove that the sequence (an) is decreasing.

I have done it already.. but it kinda seems too simple, so I wanna check with the solutions of other people.