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Find n,if the ratio of the fifth term fr...

Find n,if the ratio of the fifth term from the beginning to the fifth term from the end in the expansion of `(root(4)(2)+1/(root(4)(3)))^n` is `sqrt6:1` .

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PSEB-BINOMIAL THEOREM-EXERCISE
  1. Write the general term in the expansion of (x^2 - y)^6

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  2. Write the general term in the expansion of (x^2 - yx)^12 , x ne 0.

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  3. Find the 4th term in the expansion of (x-2y)^12.

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  4. Find the 13th term in the expansion of (9x-1/(3sqrtx))^18, x ne 0.

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  5. Find the middle terms in the expansion of:- (3- x^3/6)^7

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  6. Find the middle terms in the expansion of:- (x/3+9y)^10.

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  7. In the expansion of (1 + a)^(m+n), prove that coefficients of a^m and ...

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  8. The coefficients of the (r-1)^(th),r^(th) and (r+1)^(th) terms in the ...

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  9. Prove that the coefficient of x^n in the expansion of (1+x)^(2n) is tw...

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  10. Find a positive value of m for which the coefficient of x^2 in the exp...

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  11. Find a, b and n in the expansion of (a+b)^n if the first three terms o...

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  12. Find a if the coefficients of x^2 and x^3 in the expansion of (3 + ax)...

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  13. Find the coefficient of x^5 in the product (1 + 2x)^6 (1 -x)^7 using b...

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  14. If a and b are distinct integers, prove that a- b is a factor of a^n -...

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  15. Evaluate (sqrt3+sqrt2)^6 - (sqrt3-sqrt2)^6.

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  16. Find the value of (a^2+ sqrt(a^2-1))^4 + (a^2- sqrt(a^2-1))^4.

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  17. Find an approximation of (0.99)^5 using the first three terms of its e...

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  18. Find n,if the ratio of the fifth term from the beginning to the fifth ...

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  19. Expand using Binomial Theorem (1+x/2-2/x)^4, x ne 0.

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  20. Find the expansion of (3x^2 -2ax+ 3a^2)^3 using binomial theorem.

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