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Let S(n)=1+(1)/(2)+(1)/(3)+….+(1)/(n) Sh...

Let `S_(n)=1+(1)/(2)+(1)/(3)+….+(1)/(n)` Show that `ns_(n)=n+((n-1)/(1)+(n-2)/(2)+………+(2)/(n-2)+(1)/(n-1))`.

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MOTION-SEQUENCE & SERIES -Exercise -4 Level -II Previous Year /JEE Advanced
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  3. Let Vr denote the sum of the first r terms of an arithmetic progressio...

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  13. The minimum value of the sum of real number a^(-5),a^(-4),3a^(-3),1,a^...

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  15. If a(1),a(2),a(3),"......" be in harmonic progression with a(1)=5 and ...

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  17. Let an denote the number of all n-digit positive integers formed by th...

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  19. A pack contains n cards numbered from 1 to n. Two consecutive numbered...

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