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Find the sum to n terms of the series

13+33+53+73+93+…..

 

Asked by nitishkrnehu09 19th June 2016, 9:06 PM
Answered by Expert
Answer:

begin mathsize 12px style Now comma space 1 cubed plus 3 cubed plus 5 cubed plus.... plus left parenthesis 2 straight n minus 1 right parenthesis cubed
equals 1 cubed plus 2 cubed plus 3 cubed plus.... plus left parenthesis 2 straight n right parenthesis cubed minus left square bracket 2 cubed plus 4 cubed plus 6 cubed plus.... plus left parenthesis 2 straight n right parenthesis cubed right square bracket
equals open square brackets fraction numerator 2 straight n left parenthesis 2 straight n plus 1 right parenthesis over denominator 2 end fraction close square brackets squared minus 2 open square brackets straight n left parenthesis straight n plus 1 right parenthesis close square brackets squared
equals straight n squared left parenthesis 2 straight n minus 1 right parenthesis squared end style

Answered by Expert 20th June 2016, 6:25 PM
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