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what is the sum of 1+4+7+...+85

 Sep 17, 2014

Best Answer 

 #2
avatar+33653 
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Let s = 1 + 4 + 7 + ... + 85

This is an arithmetic series for which the sum is obtained by taking the average of the first and last terms and multiplying by the number of terms.  Here there are 29 terms so:

$${\mathtt{s}} = {\frac{{\mathtt{29}}{\mathtt{\,\times\,}}\left({\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\mathtt{85}}\right)}{{\mathtt{2}}}} \Rightarrow {\mathtt{s}} = {\mathtt{1\,247}}$$

 Sep 17, 2014
 #1
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vales chet a la verga

 Sep 17, 2014
 #2
avatar+33653 
+5
Best Answer

Let s = 1 + 4 + 7 + ... + 85

This is an arithmetic series for which the sum is obtained by taking the average of the first and last terms and multiplying by the number of terms.  Here there are 29 terms so:

$${\mathtt{s}} = {\frac{{\mathtt{29}}{\mathtt{\,\times\,}}\left({\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\mathtt{85}}\right)}{{\mathtt{2}}}} \Rightarrow {\mathtt{s}} = {\mathtt{1\,247}}$$

Alan Sep 17, 2014

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