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Thread: 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 02:10 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 ?
    $\displaystyle \sum\limits_{k = 0}^{24} {\left( {7 + 2k} \right)} = ?$
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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 $\displaystyle \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,

    $\displaystyle \sum_{k=0}^{24}7+2k=7+9+11+13+...$, where $\displaystyle k$ 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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