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Math Help - arithmetic sequence

  1. #1
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    arithmetic sequence

    Find the sum of the even integers between
    -50 and 200 including them, that is,
    -50+(-48)+(-46)+....+198+200
    Write down and use the correct formula.
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  2. #2
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    Lexington, MA (USA)
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    Hello, Steph07!

    Find the sum of the even integers between -50 and 200, inclusive.
    That is: . \text{-}50+(\text{-}48)+(\text{-}46)+ \hdots +198+200

    Write and use the correct formula.

    This is an arithmetic series with:
    . . first term a = -50, common difference d = 2, and n=126 terms.

    The sum is: . S \;=\;\tfrac{n}{2}[2a + (n-1)d] \;=\;\tfrac{126}{2}[2(-50) + 125(2)] \;=\;9450

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  3. #3
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    thank u

    thank you so much!! ur awesome!
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