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If the 2^("nd"),3^("rd")" and "4^("th") ...

If the `2^("nd"),3^("rd")" and "4^("th")` terms in the expansion of `(a+x)^(n)` are respectively 240, 720, 1080, find a, x, n.

Text Solution

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The correct Answer is:
`:.a=2,x=3,n=5.`
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Knowledge Check

  • The (n+1) the term in the expansion of e^(4x) is

    A
    `4!`
    B
    `4^(n)`
    C
    `4^(n)//n!`
    D
    `(4x)^(n)//n!`

  • The (n+1)th term in the expansion of e^(-3x) is

    A
    `(3^(n))/(n!)`
    B
    `((3x)^(n))/(n!)`
    C
    `((-3x)^(n))/(n!)`
    D
    `(x^(n))/(n!)`

  • The (n+1)th term in the expansion of e^(-2) is

    A
    `(3^(n))/(n!)`
    B
    `((3x)^(n))/(n!)`
    C
    `((-3x)^(n))/(n!)`
    D
    `((-2)^(n))/(n!)`

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