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Math Help - Converges and Diverges

  1. #1
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    Arithmetic word problem

    The first row of seating in section H of the Concert Area has 7 seats. In all, there are 25 rows of seats in section H, each row containing 2 seats more than the row preceding it. How many seats are in section H?

    My attempt:

    it is an arithmetic problem i guess.
    a1=7
    a1+(n-1)d
    7+(25-1)2=55 seats
    is this how you do this problem?
    Last edited by hahaitssara; May 20th 2010 at 03:10 PM. Reason: I asked the wrong question
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  2. #2
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    Quote Originally Posted by hahaitssara View Post
    The first row of seating in section H of the Concert Area has 7 seats. In all, there are 25 rows of seats in section H, each row containing 2 seats more than the row preceding it. How many seats ?
    \sum\limits_{k = 0}^{24} {\left( {7 + 2k} \right)}  = ?
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  3. #3
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    Converge

    im sorry i really do not understand what that means!
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  4. #4
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    Quote Originally Posted by hahaitssara View Post
    im sorry i really do not understand what that means!
    I am sorry that I misunderstood.
    I thought you were in a pre-calculus course.
    Do you realize that you posted this in the pre-calculus forum?
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  5. #5
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    I am in pre calculus, however I do not understand the symbol of E we never learned that. I don't know what your trying to explain! Please help!
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  6. #6
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    Quote Originally Posted by hahaitssara View Post
    I am in pre calculus, however I do not understand the symbol of E we never learned that. I don't know what your trying to explain! Please help!
    Are you really in a pre-calculus course in which the idea of summation is not considered?
    It is very hard to believe that any pre-calculus course would not discuss the notation \sum\limits_{k = 0}^{24} {a_k } .

    I truly hope that your course will serve you future needs.
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  7. #7
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    I dont see how it makes any difference to you. This is a pre-calculus question and I need help. I see that I am not getting it from you!
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  8. #8
    Senior Member Danneedshelp's Avatar
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    Quote Originally Posted by hahaitssara View Post
    I dont see how it makes any difference to you. This is a pre-calculus question and I need help. I see that I am not getting it from you!
    The first row has 7 seats, since k=0 zero when you are at the first row. If you move up to the second row k=1, so there are 7+2(1)=9 seats. If you move up to the third row k=2, so there are 7+2(2)=11 seats. You can continue this for k=3,...,24 (since there are 25 rows and we consider the first row to be row 0). The notation Plato posted tells you to add up each one of these terms. So,

    \sum_{k=0}^{24}7+2k=7+9+11+13+..., where k is the index of the summation, 0 is the lower bound (the initial value of k) and 24 is the upper bound (the final value of k). Thus, you begin at k=0 and add the following terms up until you get to k=24.

    Hopefully that clears things up.
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