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""^15C2 + 2.""^15C3 + 3. ""^15C4 + …..+ ...

`""^15C_2 + 2.""^15C_3 + 3. ""^15C_4 + …..+ 14.""^15C_15 = `

A

`13.2^14 - 1`

B

`13.2^14 + 1`

C

`12^14 + 1`

D

`12^14 - 1`

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The correct Answer is:
B
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AAKASH SERIES-BINOMIAL THEOREM-EXERCISE - II
  1. If ar is the coefficient x^r in the expansion of (1+x+x^2)^n then a1 -...

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  2. If (1+2x +3x^2)^10 = a0 +a1x +a2x^2 + ……+a20x^20 then a2/a1 =

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  3. ""^15C2 + 2.""^15C3 + 3. ""^15C4 + …..+ 14.""^15C15 =

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  4. ""^20C10.""^15C0 + ""^20C9.""^15C1 + ""^20C8.""^15C2 + …..+""^20C0.""^...

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  5. ""^10C1 . ""^9C5 + ""^10C2. ""^9C4 + ""^10C3. ""^9C3 + ""^10C4. ""^9C2...

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  6. sum(r=1)^(10) r. (""^nCr)/(""^nC(r-1)) =

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  7. sum(r = 0)^(n-1) (Cr)/(Cr + C(r+1)) =

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  8. The sum of the coefficients in the binomial expansion of (1/x + 2x)^n ...

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  9. If (1)/((1 - 2x)(1 + 3x)) is to tbe expanded as a power series of x, t...

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  10. 1 + ""^2C1x + ""^3C2 + ""^4C3 x^3 + ….. to oo terms can be summed up ...

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  11. If Sn denotes the sum of first n natural number then S1 + S2x + S3 x^2...

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  12. ""^4C1 + ""^5C2.(1/2) + ""^6C3.(1/2)^2+….. to oo terms :

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  13. If |x| lt 1 , then the coefficient of x^n in expansion of (1+x+x^2 + x...

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  14. If the expansion in powers of x of the function (1)/((1-ax)(1-bx)) is ...

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  15. The coefficient of x^24 in the expansion of (1+x^2)^(12) (1+x^12)(1+x^...

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  16. If 0 lt x lt 1, the first negative term in the expansion of (1+x)^(27/...

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  17. Find the coefficient of x^(10) in the expansion of (1+2x)/((1-2x)^(2))...

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  18. The first negative term in the expansion of (1+x)^(3//4) is

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  19. If T(r +1) is the first negative term in the expansion of (1+x)^(7//2)...

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  20. If x^3, x^4, x^5 …….can be neglected then sqrt(x^2 + 16 ) - sqrt(x^2 +...

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