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If the expansion in powers of x of the f...

If the expansion in powers of x of the function `(1)/((1-ax)(1-bx))` is `a_(0)+a_(1)x+a_(2)x^(2)+a_(3)x^(3)+.....+a_(n)` then coefficient of `x^(n)` is

A

`(a^n - b^n)/(b-a)`

B

`(a^(n+1) - b^(n+1))/(b-a)`

C

`(b^(n+1) - a^(n+1))/(b-a)`

D

`(b^n - a^n)/(b-a)`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-BINOMIAL THEOREM-EXERCISE - II
  1. ""^4C1 + ""^5C2.(1/2) + ""^6C3.(1/2)^2+….. to oo terms :

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

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

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

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

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

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

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

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

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  10. If 'c' is small in comparison with l then ((l)/(l+c))^(1//2) + ((l)/(l...

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  11. If x is numerically so small so that x^2 and higher powers of x can be...

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  12. If x is small so that x^2 and higher powers can be neglected, then the...

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  13. 1+(2)/(4) + (2.5)/(4.8)+(2.5.8)/(4.8.12)+(2.5.8.11)/(4.8.12.16)+…..=

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  14. (3)/(4.8)+(3.5)/(4.8.12)+(3.5.7)/(4.8.12.16)+….=

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  15. Observe the following statements : Statement -I : In the expansion...

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  16. The following coefficients which are in increasing order are :

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  17. Observe the following statements : Statement - I : 1/2 . ""^10C0 -...

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  18. The number of terms in the expansions of (1+3x+3x^2+x^3)^6, (x+y-z)^16...

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  19. (1+x)^n = sum(r = 0)^(n) Cr x^r then match the following

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  20. (1+x)^n = sum(r = 0)^(n) Cr x^r then match the following

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