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The value of x for which the sixth term ...

The value of x for which the sixth term in the expansion of
`[2^(log_(2)sqrt(9^(x-1)+7))+(1)/(2^(1/5log_(2)(3^(x-1)+1)))]^(7)` is 84 is

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The value of x for which the sixth term in the expansion of [2^(log)2sqrt(9^(x-1)+7)+1/(2^(1/5)(log)_2(3^((x-1)+1)))]^7 is 84 is a. 4 b. 1or2 c. 0or1 d. 3

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CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. Find the GP whose first term is 64 and next term is 32.

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  2. The fifth term of GP is 81 and second term is 24. Find the GP

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  3. The value of x for which the sixth term in the expansion of [2^(log(...

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  4. Find the 7th term of the GP, sqrt(3)+1, 1 , (sqrt(3) -1)/2 ,.....

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  5. The number 51^(49)+51^(48)+51^(47)+........+51+1 is divisible by a. 10...

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  6. If sum(r=0)^(n) (r)/(""^(n)C(r))= sum(r=0)^(n) (n^(2)-3n+3)/(2.""^(n)C...

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  7. If (1+x)^n=C0+C1x+C2x^2+.......+Cn x^n , then show that the sum of the...

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  8. If sum(r=0)^(n){a(r)(x-alpha+2)^(r)-b(r)(alpha-x-1)^(r)}=0, then

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  9. Let a=(2^(1//401)-1) and for each ngeq2,l e tbn=^n C1+^n C2dota+^n C3...

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  10. Prove that underset(r=0)overset(n)sum.^(n)C(r)(-1)^(r)[i^(r)+i^(2r)+i^...

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

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  12. If the first and third term is 2 and 8 respectively. Find its secon...

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  13. Find the next two terms of the series 2,-6,18,-54,.....

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  14. If n is a positive integer, prove that 1-2n+(2n(2n-1))/(2!)-(2n(2n-1)(...

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  15. Find the third term from the end term of the GP.2/27, 2/9, 2/8,.........

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  16. Given, sn=1+q+q^2+.....+q^n ,Sn=1+(q+1)/2+((q+1)/2)^2+... +((q+1)/2)^n...

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  17. The sum of 1+n(1-1/x)+(n(n+1))/(2!)(1-1/x)^2+.....oo

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  18. sum(k=1)^ook(1-1/n)^(k-1) =?

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  19. The coefficient of x in the expansion of {sqrt(1+x^2)-x}^(-1) in ascen...

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  20. 1+1/3x+(1xx4)/(3xx6)x^2+(1xx4xx7)/(3xx6xx9)x^3+------ is equal to

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