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The middle term in the expansion of (1 +...

The middle term in the expansion of `(1 + x)^(2n)` is :

A

`((2n)!)/(n!) x^n`

B

`((2n)!)/(n!(n-1)!) x^(n+1)`

C

`((2n)!)/(n!)^2 x^n`

D

`((2n)!)/((n+1)!(n-1)!) x^(n)`.

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MODERN PUBLICATION-BINOMIAL THEOREM-EXERCISE
  1. Find the coefficient of x^5 in the expansion of (x+3)^6 is :

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  2. If x=1/3, then the greatest term in the expansion of (1+4x)^8 is the :

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  3. The middle term in the expansion of (1 + x)^(2n) is :

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  4. The term independent of x in (2x-1/(3x))^6 is :

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  5. The coefficient of the term independent of x in (2x-3/x)^6 is :

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  6. The fourth term in the binomial expansion of (x^2-1/x^3)^n is independ...

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  7. In a binomial expansion (1 + x)^n is a positive integer, the coefficie...

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  8. If the three consecutive coefficients in the expansion of (1 + x)^n ar...

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  9. Let (1 + x)^n= C0+C1x+C2x^2+.....+Cn x^n and C1/C0+2 C2/C1+3 C3/C2+......

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  10. In the expansion of (x +a)^n, the sums of the odd and the even terms a...

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  11. The 5th term from the end in the expansion of (x^3/2-2/x)^12 is :

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  12. In the binomial expansion of (a -b)^n, nge5, the sum of the 5th and 6t...

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  13. The value of C (47, 4) + underset (r=1) overset (5) sum (52-r,3) is:

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  14. 7^9+9^7 is divisible by :

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  15. Find the term independent of x in the expansion of : ((x+1)/(x^(2//3)-...

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  16. Product of any r consecutive natural numbers is always divisible by :

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  17. If C0,C1,C2,........, Cn denote the coefficients in the expansion of (...

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  18. A polygon has 44 diagonals. The number of the sides is :

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  19. Find 'a' if the coefficients of x^(2) and x^(3) in the expanion of (3 ...

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  20. Using binomial theorem. the value of (0.999)^3,correct to 3 decimal pl...

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