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N=2^(n-1)(2^n-1) and (2^n-1) is a prime ...

`N=2^(n-1)(2^n-1) and (2^n-1)` is a prime number. ` < d_1 < d_2 <.....< d_k=N` are the divisors of `N.` Show that `1/1+1/d_1+1/d_2+.......+1/d_k=2.`

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MOTION-SEQUENCE & SERIES -Exercise -4 Level -II Previous Year /JEE Advanced
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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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  14. Let a1, a2, a3, ,a(100) be an arithmetic progression with a1=3a n dsp...

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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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  16. Let a(n) denote the number of all n-digit numbers formed by the digits...

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

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