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Find the coefficient of x^5 in the expan...

Find the coefficient of `x^5` in the expansion of `(1+x)^(21)+(1+x)^(22)+.........+(1+x)^(30)dot`

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RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
  1. Find the number of integral terms in the expansion of (5^(1/2)+7^(1/8)...

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  2. Find the coefficients of x^7 in (a x^2+1/(b x))^(11)and x^(-7)i n(a...

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  3. Find the coefficient of x^5 in the expansion of (1+x)^(21)+(1+x)^(22)+...

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  4. If the middle term in the binomial expansion of (1/x+xsinx)^(10) is eq...

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  5. Find the greatest value of the term independent of x in the expansion ...

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  6. If o be the sum of odd terms and E that of even terms in the expansion...

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  7. Using binomial theorem, expand {(x+y)^5+(x-y)^5}dot and hence find the...

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  8. Using binomial theorem, prove that 2^(3n)-7n-1 is divisible by 49 , wh...

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

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  10. Expand (x^2+2a)^5 by binomial theorem.

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  11. Prove that sum(r=0)^n^n Cr3^r=4^n

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  12. By using binomial theorem, expand: (1+x+x^2)^3

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  13. If the third term in the expansion of (1/x+"""x"(log)(10 x))^5 is 1000...

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  14. In the binomial expansion of (1+x)^n , coefficients of the fifth, sixt...

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  15. In the binomial expansion of (a+b)^n , coefficients of the fourth and ...

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  16. The value of term independent of x in (sqrt(x)+a/(x^2))^(10) is .

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  17. If n is a positive integer, prove that 3^(3n)-26n-1 is divisible by 67...

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  18. Using binomial theorem, prove that 3^(2n+2)-8^n-9 is divisible by 64 ...

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  19. For what value of x is the ninth term in the expansion of (3^(log3 sqr...

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  20. If the fourth term in the expansion of {sqrt(1/("""x^log(x+1)"}'+1/(x^...

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