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

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

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

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

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