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

If `(4+sqrt(15))^n=I+f,`where `n` is an odd natural number, `I` is an integer and ,then

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CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. if the 4^(th) term in the expansion of (ax+1)^(n) is 5//2, then

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

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

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

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

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

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

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

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

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

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

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  12. Value of sum(k=1)^oosum(r=0)^k1/(3^k)(k Cr) is 2/3 b. 4/3 c. 2 d. 1

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  13. If the expansion in powers of x of the function 1/[(1-a x)(1-b x)] is ...

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  14. If f(x)=1-x+x^2-x^3+. . -x^(15)+x^(16)-x^(17) , then the coefficient o...

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  15. The sum of rational in (sqrt2+root(3)(3)+root(6)(5))^10 is equal to

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  16. The value of underset(r=0)overset(10)sum(r).^(20)C(r) is equal to

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  17. If P = (8 + 3sqrt(7))^(n) and f = p - [p] , where [*] denotes the grea...

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  18. Find the GP whose first term is 64 and next term is 32.

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  19. The fifth term of GP is 81 and second term is 24. Find the GP

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  20. The value of x for which the sixth term in the expansion of [2^(log(...

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