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If (1-x)^(-n)=a0+a1x+a2x^2+...+ar x^r+ ,...

If `(1-x)^(-n)=a_0+a_1x+a_2x^2+...+a_r x^r+ ,t h e na_0+a_1+a_2+...+a_r` is equal to `(n(n+1)(n+2)(n+r))/(r !)` `((n+1)(n+2)(n+r))/(r !)` `(n(n+1)(n+2)(n+r-1))/(r !)` none of these

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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
  1. The coefficient of x^9 in the expansion of (1+x)(1+ x^2)(1+x^3)....(1...

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  2. The coefficients of three consecutive terms of (1+x)^(n+5) are in the ...

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  3. If (1-x)^(-n)=a0+a1x+a2x^2+...+ar x^r+ ,t h e na0+a1+a2+...+ar is equa...

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  4. The value of sum(r=0)^(20)r(20-r)(.^(20) Cr)^2 is equal to a. 400^(...

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  5. The coefficient of x^(10) in the expansion of (1+x^2-x^3)^8 is 476 b. ...

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  6. If the term independent of x in the (sqrt(x)-k/(x^2))^(10) is 405, the...

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  7. The coefficient of x^2y^3 in the expansion of (1-x+y)^(20) is (20 !)/(...

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  8. The coefficient of x^5 in the expansion of (x^2-x-2)^5 is -83 b. -82 c...

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  9. The coefficient of a^8b^4c^9d^9 in (a b c+a b d+a c d+b c d)^(10) is...

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  10. If the coefficient of x^7in[a x^2-(1/(b x^2))]^(11) equal the coeffici...

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  11. If (1+x)^5=a0+a1x+a2x^2+a3x^3+a4x^4+a5x^5, then the value of (a0-a2+a4...

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  12. The coefficient of x^n in the expansion of (1+x)(1-x)^n is

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  13. The coefficient of x^(28) in the expansion of (1+x^3-x^6)^(30) is a...

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  14. The coefficient of x^n in (1+x)^(101)(1-x+x^2)^(100) is non zero, then...

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  15. sum(r=0)^n(-1)^r^n Cr[1/(2^r)+3/(2^(2r))+7/(2^(3r))+(15)/(2^(4r))+ u p...

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  16. In the expansion of (7^(1//3)+11^(1//9))^(6561) , (a)there are exact...

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  17. If for z as real or complex, (1+z^2+z^4)^8=C0+C1z2+C2z4++C(16)z^(32)t...

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  18. If f(m)=sum(i=0)^m(30(^) 30-i)(20(^)m-i)w h e r e(p q)=^p Cq ,t h e n ...

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  19. The sum of coefficient in the expansion of (1+a x-2x^2)^n is (a)posi...

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  20. If the 4th term in the expansion of (a x+1//x)^n is 5/2, then a. a=1/2...

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