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If the 2nd, 3rd and 4th terms in the ...

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

Text Solution

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To solve the problem step by step, we will use the information given about the second, third, and fourth terms in the expansion of \((x + a)^n\). ### Step 1: Write the General Term The general term \(T_{r+1}\) in the expansion of \((x + a)^n\) is given by: \[ T_{r+1} = \binom{n}{r} x^{n-r} a^r \] ...
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Knowledge Check

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

    A
    `""^(2n) C_(r) x^(r)`
    B
    `""^(2n) C_(r-1) x^(2n -r)`
    C
    `""^(2n) C_(r-1) x^(r-1)`
    D
    `""^(2n) C_(r)`

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

    A
    `176 x^(9) y^(3)`
    B
    `1760 x^(9) y^(3)`
    C
    `-1760 x^(9) y^(3)`
    D
    None of these

  • 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)`

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