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awesomeness123 Group TitleBest ResponseYou've already chosen the best response.0
sum of wht
 one year ago

nissn Group TitleBest ResponseYou've already chosen the best response.0
\[\sum_{k=1}^{\infty}\left( 2^{k}+5^{k+1} \right)\]
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
break in to two parts and add
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
first one is \[\sum_{k=1}^{\infty}\frac{1}{2^k}=1\]
 one year ago

nissn Group TitleBest ResponseYou've already chosen the best response.0
how did you find that? (Haven't done this in a long time)
 one year ago

nissn Group TitleBest ResponseYou've already chosen the best response.0
the sum is 9/4 (after wolframalpha) but I don't know how to find it
 one year ago

sirm3d Group TitleBest ResponseYou've already chosen the best response.1
the first term is a geometric series with first term 1/2 and ratio 1/2, the second term is a geometric series with first term 1 and ratio 1/5 use the formula \[S=\frac{ a_1 }{ 1r }\] to find the sum of an infinite geometric series
 one year ago

nissn Group TitleBest ResponseYou've already chosen the best response.0
so then it is s =0.5/(10.5)=1 and 1/(11/5)=5/4 1+5/4 =9/4
 one year ago

sirm3d Group TitleBest ResponseYou've already chosen the best response.1
that's right
 one year ago
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