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Find a, b and n in the expansion of (a+...

Find a, b and n in the expansion of `(a+b)^n`if the first three terms of the expansion are 729, 7290 and 30375, respectively.

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The correct Answer is:
`x=3,y=5,n=6`
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NAGEEN PRAKASHAN-BINOMIAL THEOREM-Exercise 8B
  1. If the coefficients of three consecutive terms in the expansion of (1+...

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

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  3. Find the 7th term in the expansion of ((4x)/5-5/(2x))^9.

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

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

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

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

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

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

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  10. Find the middle term in the following expansion: (i) (x^(2)-(1)/(x^2))...

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  11. If the coefficients of (p+1)th and (P+3)th terms in the expansion of (...

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

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  13. if the coefficient of (2r+1)th term and (r+2)th term in the expansion...

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

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  15. 17. If the coefficients of 2nd, 3rd and 4th terms in the expansion of ...

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  16. In n is a positive integer then prove that the coefficient of the midd...

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

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

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

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  20. If the coefficients of three consecutive terms in the expansion of (1+...

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