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What is the sum of the first 25 terms of the sequence 3, 17, 31, 45, ... ?

 Nov 22, 2014

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 #1
avatar+118608 
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What is the sum of the first 25 terms of the sequence 3, 17, 31, 45, ..

 

d=14 a=3 n=25

Sn=n/2(2a+(n-1)d) = 25/2(6+24*14) 

$${\frac{{\mathtt{25}}}{{\mathtt{2}}}}{\mathtt{\,\times\,}}\left({\mathtt{6}}{\mathtt{\,\small\textbf+\,}}{\mathtt{24}}{\mathtt{\,\times\,}}{\mathtt{14}}\right) = {\mathtt{4\,275}}$$

 Nov 22, 2014
 #1
avatar+118608 
+5
Best Answer

What is the sum of the first 25 terms of the sequence 3, 17, 31, 45, ..

 

d=14 a=3 n=25

Sn=n/2(2a+(n-1)d) = 25/2(6+24*14) 

$${\frac{{\mathtt{25}}}{{\mathtt{2}}}}{\mathtt{\,\times\,}}\left({\mathtt{6}}{\mathtt{\,\small\textbf+\,}}{\mathtt{24}}{\mathtt{\,\times\,}}{\mathtt{14}}\right) = {\mathtt{4\,275}}$$

Melody Nov 22, 2014

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