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The coefficient of x^n in the expansio...

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

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CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. If the coefficient of x^(7)in [ax^(2) + (1/bx)]^(11) equals the coeffi...

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

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  4. The coefficient of x^(28) in the expansion of (1+x^(2)-x^(6))^(30) is

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  5. The coefficient of x^(n) in (1+x)^(101) (1-x+x^(2))^(100) is nonzero, ...

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  6. prove that sum(r=0)^n(-1)^r^n Cr. [1/(2^r)+(3^r)/(2^(2r))+(7^r)/(2^(...

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  7. In the expansion of (7^(1//3)+11^(1//9))^(6561) ,

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  8. If for z as real or complex, (1+z^2+z^4)^8=C0+C1z^2+C2z^4+...+C(16)z^(...

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  9. The sum of the coefficient in the expansion of (1+ax-2x^(2))^(n) is

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  10. if the 4^(th) term in the expansion of (ax+1)^(n) is 5//2, then

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  11. Number of values of r satisfying the equation ,^69C(3r-1) -^(69)C(r^2)...

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  12. If (4+sqrt(15))^n=I+f,where n is an odd natural number, I is an intege...

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  13. In the expansion of (x+a)^n if the sum of odd terms is P and the sum o...

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  14. If the coefficients of the rth, (r+1)t h ,(r-2)t h terms is the expans...

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  15. The value/value of x in the expression (x+x^(log(10)x))^(5)if the thir...

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  16. Let R=(5 sqrt 5+11)^(2n+1) and f=R-[R] where [] is the greatest intege...

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

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  18. The coefficient of x^5in(1+2x+3x^2+)^(-3//2)i s(|x|<1)

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  19. If x is so small that x^3 and higher powers of x may be neglected, the...

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  20. If x is positive, the first negative term in the expansion of (1+x)^(2...

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