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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

  • The first three terms in the expansion of (1+x+x^2)^10 are

    A
    `1,5x,11x^2`
    B
    `1,10x,15x^2`
    C
    `1,10x,55x^2`
    D
    `1,15x,50x^2`

  • If the 2nd and 3rd terms in the expansion of (1+x)^n are 20a and 180a^2 respectively then (x,n)=

    A
    `(2a,10)`
    B
    `(3a,8)`
    C
    `(3a,12)`
    D
    `(4a,7)`

  • The (n+1) the term in the expansion of e^(5) is

    A
    `5!`
    B
    `5^(n)`
    C
    `5^(n)//n`
    D
    `5^(n)//n!`

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    Find the expansion of sin(A+B-C) .

    Find the expansion of cos(A-B-C) .

    Find the expansion of sin(A+B+C) .

    Write the first three terms of the expansion of (1+(x^(2))/(2))^(-5)

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