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The coefficient of x^24 in (1+3x+6x^2 + ...

The coefficient of `x^24` in `(1+3x+6x^2 + 10x^3 + ……oo)^(2//3)` is

A

25

B

125

C

50

D

300

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-BINOMIAL THEOREM-EXERCISE 1C (BINOMIAL THEOREM WITH RATIONAL INDEX)
  1. The general term of (2a-3b)^(1//2) is

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  2. The coefficient of x^7 in (1-2x+3x^2-4x^2+….oo)^(-4) is

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  3. The coefficient of x^24 in (1+3x+6x^2 + 10x^3 + ……oo)^(2//3) is

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  4. The coefficient of x^7 in (1+2x+3x^2+4x^4+…....oo)^(-3)is

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  5. The coefficient of x^6 in (1+x+x^2+x^3+x^4+x^5)^6 is

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  6. The coefficient of x^4 in the expression (1+2x+3x^2+4x^3+….)^(1//2) is

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  7. The coefficient of x^5 in the expansion of (1+x)^(21)+(1+x)^(22)+….+(1...

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  8. The coefficient of x^r ( 0 le r le n -1 ) in the expansion of (x+3)^(n...

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  9. Coefficient of x^50 in (1+x)^1000 + 2x (1+x)^(999)+3x^2 (1+x)^(999) +…...

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  10. The coefficient of x^k in the expansion of E=1 + (1+x) + (1+x)^2 + ….+...

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  11. The coefficient of x^2 in (1+x)^2 (8-x)^(-1//3) is

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  12. The coefficient of x^4 in the expansion of ((1-3x)^2)/((1-2x)) is

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  13. The coeff. Of x^2 in (1+x^2)/((1-x)^3) is

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  14. The coefficient of x^10 in (1-2x + 3x^2)/(1-x) is

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  15. The coeff. Of x^2 in (1+x^2)/((1-x)^3) is

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  16. The coefficient of x^n in ((1+x)^2)/((1-x)^2) is

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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 coefficient of x^n in ((1+x)^n)/(1-x) where n in N is

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

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  20. If x is so small that x^2 and higher powers of x may be neglected then...

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