Originally Posted by

**potatocount**
. **> > > **If you are kind enough to help and guide me, **< < < **...**Question 1:**

Let X_{1, }X_{2, }X_{3, .... }X_{k }be an Arithmetic Sequence and Y_{1, }Y_{2, }Y_{3, ...}Y_{k}be a Geometric Sequence.

Define the sequence Z_{1, }Z_{2, }Z_{3, ....}Z_{k}by Z_{k }= X_{k }+ Y_{k} for every K element of Natural numbers.

**If Z**_{1}=1, Z_{2}=8, Z_{3}=32, Find Z_{5.
> > > potatocount, you have shown no work at all for you to be helped and guided.
And a worked-out problem by anyone here for you is not "helping and guiding" you.
Please see: http://www.freemathhelp.com/forum/th...Before-Posting!!
}

**Question 2:**

Let S_{0} be a square whose side has length of 1 unit.

Let S_{1} be the square whose vertices are the midpoints of the sides of S_{0}.

(connecting the midpoint of consecutive sides)

Let S_{2} be the square whose vertices are the midpoints of the sides of S_{1}, and so on.

We do this infinitely many times to obtain squares S_{k} where K is a Natural number.

**If AS**_{k }denotes the AREA of square Sk, Find AS_{1} + AS_{2} + AS_{3} + ... + AS_{k}.

**> > > **Again, potatocount, you showed no work. This is in reference to this second problem.

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