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CBSE Class 11-science Answered

Find the sum to n terms of the series 13+33+53+73+93+…..  
Asked by nitishkrnehu09 | 19 Jun, 2016, 09:06: PM
answered-by-expert 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 | 20 Jun, 2016, 06:25: PM

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