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

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.

Text Solution

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The correct Answer is:
a =3: b=5: n=6
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Knowledge Check

  • In the expansion of (1+x)^n , coefficient of rth term from end is

    A
    `^nC_r`
    B
    `^nC_(n-r)`
    C
    `^nC_(r+1)`
    D
    `^nC_(n-r+1)`

  • In the expansion of (a+x)^(n) , find the coefficent of rth term from end.

    A
    `.-^(n)C_(r)`
    B
    `.-^(n)C_(n-r)`
    C
    `.-^(n)C_(r+1)`
    D
    `.-(n)C_(n-r+1)`

  • The index of a in the 12th term of the expansion of (a+2b)^20 is

    A
    a) 8
    B
    b) 7
    C
    c) 9
    D
    d) 10

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    If the coefficients if three successive terms in the expansion of (1+x)^(n) are 120 ,210 and 252 respectively . Find n .

    The second, third and fourth terms in the binomial expansion (x + a)^n are 240, 720 and 1080, respectively. Find x,a and n.

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