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If the third term in the expansion of (1...

If the third term in the expansion of `(1/x+""_"x"(log)_(10 x))^5` is `1000 ,` then find `xdot`

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RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
  1. Prove that sum(r=0)^n^n Cr3^r=4^n

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

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

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

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

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

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

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

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

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

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  11. If the coefficient of 2nd, 3rd and 4th terms in the expansion of (1...

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  12. If the coefficient of (2r+4)th and (r-2)th terms in the expansion of ...

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  13. Find the value of alpha for hich the coefficients of the middle terms ...

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  14. If the term free form x in the expansion of (sqrt(x)-m/(x^(2)))^(10) i...

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  15. Find the 5th term in the expansion of (1+x^2)^12

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  16. Find the 2nd term in the expansion of (1+x)^12

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  17. Find the total number of the terms in expansion of (1-3x+3x^2-x^3)^8do...

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  18. Find the 111th term in the expansion of (1+3x)^111.

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  19. Find the number of terms in the expansion of (a+b)^8dot

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  20. Write last two digits of the number 3^(400)dot

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