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yes thank you!

yw

ok, thanks. Going to try it now.

good luck!

write back if you get stuck, i will try it too

For the partial sums I got this

\[\frac{ 1 }{ 2 }+\frac{ 1 }{ 3 }-\frac{ 1 }{n+2 }-\frac{ 1 }{ n+3 }\]

if you are starting at \(n=0\) isn't the first term 1 ?

Oh yes you are correct.
My mistake.

a small quibble, but it does make a difference i suppose

i get \(1+\frac{1}{2}\) and everything after that gets killed off

yes, I got this as well. Thanks for your help!

yw

geometric series for this one
pull out the 5

ohh

\[5\sum_{k=0}^{\infty}(\frac{2}{3})^k\] use
\[\frac{1}{1-r}\]

Thanks you so much.

yw again
partial sums are a pain, but not too bad, it is just
\[\frac{1-r^n}{1-r}\] in general

yeah, I'll try to remember that from now on :)