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If in the expansion of (1-x)^(2n-1) arde...

If in the expansion of `(1-x)^(2n-1)` `a_r`denotes the coefficient of `x^r` then prove that `a_(r-1) +a_(2n-r)=0`

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RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
  1. If x^p occurs in the expansion of (x^2+1//x)^(2n) , prove that its coe...

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  2. The coefficient of x^m in (1+x)^m +(1+m)^(m+1) +...+(1+x)^n ,m≤n is

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  3. If in the expansion of (1-x)^(2n-1) ardenotes the coefficient of x^r t...

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  4. If 3rd, 4th, 5th terms in the expansion of (x+a)^n be 84, 280 and 560,...

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  5. Find the number of terms which are free from radical signs in the e...

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  6. Find the 11th term form the beginning and the 11th term form the end...

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  7. Find the 7th term in the expansion of (3x^2-1/(x^3))^(10)dot

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  8. Find the 5th term from the end in the expansion of (3x-1/(x^2))^(10)do...

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  9. Find the 7th term in the expansion of ((4x)/5+5/(2x))^8dot

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  10. Find the 4th term from the beginning and 4^(th) term from the end in ...

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  11. Find the 4th term from the end in the expansion of ((4x)/5-5/(2x))^9do...

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  12. Find the 7th term from the end in the expansion of (2x^2-3/(2x))^8dot

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  13. Find the coefficient of x^(10) in the expansion of (2x^2-1/x)^(20).

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  14. Find the coefficient of x^7 in the expansion of (x-1/(x^2))^(40).

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  15. Find the coefficient of : x^(-15) in the expansion of (3x^2-a/(3x^3))^...

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  16. Find the coefficient of x^9 in the expansion of (x^2-1/(3x))^9.

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  17. Find the coefficient of \ x^m in the expansion of (x+1/x)^ndot

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  18. The co-efficient of x in the expansion of (1-2x^(3) + 3x^(5)) (1+1/x)^...

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  19. Find the coefficient of a^5b^7""in""(a-2b)^(12)

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  20. Find the coefficient of x in the expansion of (1-3x+7x^2)(1-x)^(16).

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