Please answer

Asked by sanyasiraomutta | 23rd Aug, 2019, 05:58: PM

Expert Answer:

1 cubed plus 1 squared plus 1 plus 2 cubed plus 2 squared plus 2 plus... plus n cubed plus n squared plus n
equals open parentheses 1 plus 2 plus... plus n close parentheses plus open parentheses 1 squared plus 2 squared plus.... plus n squared close parentheses plus open parentheses 1 cubed plus 2 cubed plus..... plus n cubed close parentheses
equals fraction numerator n left parenthesis n plus 1 right parenthesis over denominator 2 end fraction plus fraction numerator n left parenthesis n plus 1 right parenthesis left parenthesis 2 n plus 1 right parenthesis over denominator 6 end fraction plus open parentheses fraction numerator n left parenthesis n plus 1 right parenthesis over denominator 2 end fraction close parentheses squared
equals fraction numerator n left parenthesis n plus 1 right parenthesis over denominator 2 end fraction open square brackets 1 plus fraction numerator left parenthesis 2 n plus 1 right parenthesis over denominator 3 end fraction plus fraction numerator n left parenthesis n plus 1 right parenthesis over denominator 2 end fraction close square brackets
equals fraction numerator n left parenthesis n plus 1 right parenthesis over denominator 2 end fraction open square brackets fraction numerator 6 plus 2 left parenthesis 2 n plus 1 right parenthesis plus 3 n left parenthesis n plus 1 right parenthesis over denominator 3 end fraction close square brackets
equals fraction numerator n left parenthesis n plus 1 right parenthesis over denominator 2 end fraction open square brackets fraction numerator 6 plus 4 n plus 2 plus 3 n squared plus 3 n over denominator 6 end fraction close square brackets
equals fraction numerator n left parenthesis n plus 1 right parenthesis left parenthesis 3 n squared plus 7 n plus 8 right parenthesis over denominator 12 end fraction

Answered by Renu Varma | 26th Aug, 2019, 11:42: AM

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