Sequences and Series Question

Hi,

I am new to this forum so please let me know if I am posting in the wrong place, and I will move my thread.

I have the following question:

Let the sequence be given recursively by the formula:

, where

i) Prove that for all natural numbers

ii) Prove that for all natural numbers

iii) Prove that for all

I have managed to do parts i) and ii), but am unable to do part iii)

I think part i) is meant to help somehow.

Help would be appreciated,

Thanks

Re: Sequences and Series Question

Hint for (iii): induction (using (i), as you guessed).

Re: Sequences and Series Question

Re: Sequences and Series Question

Quote:

Originally Posted by

**dwally89**

Anyone?

Re: Sequences and Series Question