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The coefficients of x^n in (1+x/(1!)+x^2...

The coefficients of `x^n` in `(1+x/(1!)+x^2/(2!)+……+x^n/(n!))^2` is

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. The 15th term of the series 2 1/2+1 7/(13)+1 1/9+(20)/(23)+.... i s (...

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  2. Let a1,a2,a3,.......a11 be real number satisfying a1=15,27-2a2gt0 anda...

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  3. The coefficients of x^n in (1+x/(1!)+x^2/(2!)+……+x^n/(n!))^2 is

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  4. If x^2+9y^2+25 z^2=x y z((15)/x+5/y+3/z), then x ,y ,a n dz are in a...

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  5. Find the conjugate of the following: sqrt (-3)

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  8. Statement 1: Sum of the series 1^3-2^3+3^3-4^3++11^3=378. - Statement ...

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  9. Statement 1: 1^(99)+2^(99)++100^(99) is divisible by 10100. Statement...

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  10. Find the nth term of the AP 8, 3, -2, -7, -12,....

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  11. The sum of three consecutiveterms of an AP is 21, and the sum of the s...

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  12. Let a1 , a2 , a3,.... be terms of an A.P. if (a1 + a2 +....+ ap)/(a1 +...

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  14. If the sum of n terms of an A.P is cn (n-1) where c ne 0 then find the...

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  15. If |a|<1a n d|b|<1, then the sum of the series 1+(1+a)b+(1+a+a^2)b^2+(...

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  16. Find the sum of odd intergers from 1 to 201.

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  17. If a1, a2, a3(a1>0) are three successive terms of a G.P. with common r...

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  18. Three numbers form an increasing G.P. If the middle number is doubled,...

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  19. If S1,S2, S3, Sm are the sums of n terms of m A.P. ' s whose first ter...

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  20. If S1,S2 and S3 be respectively the sum of n, 2n and 3n terms of a G.P...

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