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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.

Answer

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

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Knowledge Check

  • In the expansion of ( 1+ ax)^(n) , first three terms are 1,12x and 64x^(2) , then n =?

    A
    6
    B
    9
    C
    10
    D
    12
  • Find the r^(th) term in the expansion of (1+x)^(n) .

    A
    `""^(n) C_(r) X^(r )`
    B
    `""^(n) C_(r-1) x^(r-1)`
    C
    `""^(n) C_(r-1) x^(r )`
    D
    `""^(n) C_(r ) x^(x-1)`
  • Find the number of terms in the expansion of (1+x)^(n) .

    A
    `n-1`
    B
    `n`
    C
    `n+1`
    D
    `(n+1)/(2)`
  • Similar Questions

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    Find a if the and and terms of the expansion terms of the expansion are equal.

    Find the number of terms in the expansion of (a+b+c)^(n).

    If the first three terms in the expansion of (1+ax)^n are 1,12 x , 64x^2 , find 'n' and 'a'

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