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Show that, (1 xx 2^(2) + 2 xx 3^(2) + …....

Show that, `(1 xx 2^(2) + 2 xx 3^(2) + ….+ n xx (n+1)^(2))/(1^(2) xx 2 + 2^(2) xx 3 + ….+ n^(2) xx (n+1))= (3n+ 5)/(3n+ 1)`

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`(3n+5)/(3n+1)`
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KUMAR PRAKASHAN-SEQUENCE AND SERIES-Miscellaneous Exercise
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  4. If a, b, c, d are in G.P, prove that (a^n + b^n), (b^n + c^n), (c^n +...

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  9. Find the sum of the following series up to n terms: (i) 5+55+555+......

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  10. Find the 20^(th) term of the series 2 xx 4 + 4 xx 6 + 6 xx 8 + ... + ...

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  11. Find the sum of the 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 ...

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