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Math Help - Geometric Sequence

  1. #1
    Newbie wtfmate's Avatar
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    Geometric Sequence

    Consider the geometric sequence: 1, (a+b), (a+b)^2, .....
    Which term of this geometric sequence, when expanded, contains the expression 35a^4b^3?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by wtfmate View Post
    Consider the geometric sequence: 1, (a+b), (a+b)^2, .....
    Which term of this geometric sequence, when expanded, contains the expression 35a^4b^3?

    (a+b)^n can be expanded unsing the binomial theorem. The order
    of each term (the sum of the powers of a and b in the term) in the expansion
    is the same, and equal to n.

    The order of the term 35 a^4 b^3 is 7. So what is n?

    RonL
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