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Which is larger : (99^(50)+100^(50)) or ...

Which is larger : `(99^(50)+100^(50))` or `(101)^(50)`.

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Using binomial theorem,prove that (101)^(50)>100^(50)+99^(50).

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Using binomial theorem, prove that (101)^(50) gt(100^(50)+99^(50)).

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A DAS GUPTA-Binomial Theorem for Positive Integrel Index-Exercise
  1. The coefficient of a^4b^5 in the expansion of (a+b)^9 is .

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  2. The coefficient in the third term of the expansion of (x^2-1/4)^n when...

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  3. Which is larger : (99^(50)+100^(50)) or (101)^(50).

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  4. The sum of the coefficeints of the polynominal (1 + x - 3x^(2))^(2163)...

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  5. The sum of the numerical coefficients in the expansion of (2x+3y)^10 i...

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  6. If the fifth term of the expansion (a^(2//3)+a^(-1))^n does not contai...

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  7. The sum of the rational terms in the expansion of (sqrt(2)+ root(5...

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  8. Write the middle term in the expansion of (x+1/x)^(10)dot

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  9. If the coefficients of 2nd, 3rd and 4th terms in the expansion of(1+x)...

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  10. If x^r occurs in the expansion of (x+1/x)^n then its coefficient is .

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  11. If the sum of the coefficients in the expansion of (a+b)^n is 4096, th...

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  12. The number of terms in the expansion of (1+x^(1/5))^55 which are free ...

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  13. If n is even then the coefficient of x in the expansion of (1+x)^n*(1-...

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  14. The sum of ""^21C0+""^21C1+""^21C2+...+""^21C10 is equal to .

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  15. The coefficient of x^(n) y^(n) in the expansion of [(1 + x)(1+y) (x...

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  16. The number of terms in the expansion of (1+2x+x^2)^n is :

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  17. The number of terms in the expansion of (1+7sqrt(2x))^9+(1-7sqrt(2x))^...

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  18. In the expansion of (x^(3) - (1)/(x^(2)))^(15) , the constant term,i...

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  19. The largest coefficient in the expansion of (1+x)^24 is

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  20. 3^(51) when divided by 8 leaves the remainder 2 2. 6 3. 3 4. 5 5. 1

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