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If n is an odd positive integer, prove t...

If n is an odd positive integer, prove that the coefficients of the middle terms in the expansion of `(x + y)^n` are equal.

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NAGEEN PRAKASHAN ENGLISH-BINOMIAL THEOREM-Exercise 8B
  1. Find a if 17th and 18th terms in the expansion of (2+a)^(50) are eq...

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

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  3. If n is an odd positive integer, prove that the coefficients of the mi...

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  4. If 3rd, 4th, 5th terms in the expansion of (x+a)^n be 84, 280 and 560,...

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  5. Find a, b and n in the expansion of (a+b)^nif the first three terms ...

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  6. If a. b, c and d are the coefficients of 2nd, 3rd, 4th and 5th terms r...

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  7. The coefficient of three consecutive terms in the expansion of (1+x)^(...

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  8. Find the 4^(t h)term in the expansion of (x-2y)^(12).

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  9. Find the 6th term in the expansion of ((4x)/5-5/(2x))^9dot

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  10. Find the 15th term in the expansion of (2y-(x)/(2))^(18)

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  11. (i) Find the 9th term in the expansion of ((x)/(a)-(2a)/(x^(2)))^(12) ...

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  12. Find the (r+1)th term in the expansion of ((x)/(a)-(a)/(x))^(2n)

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  13. Find the 7th term from the end in the expansion of (x+(1)/(x))^(11)

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  14. Find the 3rd term from the end in the expansion of (2-3x)^(8)

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  15. Find the 4th term from the end in the expansion of ((x)/(2)-(4)/(x))^(...

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  16. Find the middle term in the following expansion: (i) ((x)/(a)+(a)/(x...

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  17. In the expansion of (1 + x)^(2n)(n in N), the coefficients of (p +1...

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  18. If the coefficients of the (2r+4)t h ,(r+2)t h term in the expansion o...

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  19. about to only mathematics

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  20. Find a if 17th and 18th terms in the expansion of (2+a)^(50) are eq...

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