Help Needed: Geometric Progression & Arithmetic Sums

mr_coffee
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Hello everyone I'm studying for my next exam and I screwed up on the geometric progressions and arthm and they are the easiest of them all but I don't know what I'm doing wrong.

The first problem on the exam said:
Suppose that an arithmetic series has 202 terms. If the first term is 4PI and the last term is 60-4PI, what is the sum of the sries?

I came out with 6060, my work is posted below ( i think i got it right this time)

Now for the real problem, Write down the formula of the following sum:
You can see my work at the bottom but as you can see, it doesn't check out with adding up the terms by hand and usuing my formula. I'm really not sure what I did wrong here. ANy help would be great:
http://suprfile.com/src/1/4apu96r/lastscan.jpg



Also another one is #3. It says Write down the formula of the sum, simplify your answer, and now check when n = 1, n = 2, n = 3.

Again the formula and adding the terms up by hand arn't working out.
http://suprfile.com/src/1/4apvbsk/lastscan.jpg
 
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Your images aren't working.

You got the first question right though
 
Thanks for the responce, how about now?
http://suprfile.com/src/1/4apu96r/lastscan.jpg and

http://suprfile.com/src/1/4apvbsk/lastscan.jpg
 
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Just a quick glance... one error that seemed to pop out at me is,

Check (3/2)^2. I think it was just a careless mistake; you didn't put parentheses around the 3/2 and ended up forgetting to square the denominator as well.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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