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Number of values of r satisfying the equ...

Number of values of r satisfying the equation `,^69C_(3r-1) -^(69)C_(r^2)=^69C_(r^2-1)-^69C_(3r)` is

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Find the value (s) of r satisfying the equation "^69 C_(3r-1)-^(69)C_(r^2)=^(69)C_(r^2-1)-^(69)C_(3r)dot

.^(n-1)C_(r)+^(n-1)C_(r-1)=

show that ^nC_r+ ^(n-1)C_(r-1)+ ^(n-1)C_(r-2)= ^(n+1)C_r

The result of ^(n-1)C_r+^(n-1)C_(r-1)=

The number of values in set of values of r for which ""^23 C_r+2 ""^(23)C_(r+1)+ ""^(23)C_(r+2)ge ""^(25)C_(15) is

Show that .^(n)C_(r)+.^(n-1)C_(r-1)+.^(n-1)C_(r-2)=.^(n+1)C_(r) .

If 2lerlen show that ^nC_r +2 ^nC_(r-1) +^nC_(r-2)=^(n+2)C_r

Prove that , .^(n)C_(r)+3.^(n)C_(r-1)+3.^(n)C_(r-2)+^(n)C_(r-3)=^(n+3)C_(r)

If .^(15)C_(r+1)=^(15)C_(r+2) , find r.

If .^(22)C_(r+4)=^(22)C_(r+2) , find r.

CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. The sum of the coefficient in the expansion of (1+ax-2x^(2))^(n) is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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