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If S(1), S(2), S(3) are the sum of first...

If `S_(1), S_(2), S_(3)` are the sum of first n natural numbers, their squares and their cubes respectively. Show that `9S_(2)^(2) =S_(3)(1+8S_(1))`

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`9S_(2)^(2) = S_(3)(1+8S_(1))`
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OMEGA PUBLICATION-SEQUENCE AND SERIES -IMPORTANT QUESTIONS FROM MISCELLANEOUS EXERCISE
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  11. The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)...

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  12. Find the sum of first n terms of the series. 3+7 + 13 + 21 + 31 + ……...

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  14. Show that : (1 xx 2^2+2 xx 3^2+. .+n xx(n+1)^2)/(1^2 xx 2+2^2 xx 3+. ...

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  19. Dipesh writes letters to four of his friends. He asks each of them to ...

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