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    Sequences and means

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    1. Find the sum of the finite geometric series to three decimal places.

    9 n
    Σ - 3(0.5)
    n=3

    2. Write the first 5 terms of the specified sequence. Determine whether the sequence is arithmetic. If it is, find the common difference.
    Problem is "a(sub n)" = "1 over n+3"
    a = _1_
    n n+3

    3. Find the sum of the first 14 terms of the arithmetic sequence, if the first term is -4 and the common difference is 5.

    4. Find three arithmetic means between -5 and -37.

    5. Determine which of the four sequences below are geometric.
    7,14,28,56,112,...
    7,1,-5,-11,-17,...
    7,8,9,11,12,...
    7,-14,28,-56,112,...

    © BrainMass Inc. brainmass.com March 4, 2021, 7:16 pm ad1c9bdddf
    https://brainmass.com/math/algebra/sequence-arithmetic-finite-series-91322

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    1. Find the sum of the finite geometric series to three decimal places.

    9 n
    Σ - 3(0.5)
    n=3

    By a formula , we have

    9 n
    Σ - 3(0.5)
    n=3
    = .............Take out a factor (-3)
    = ........... Take out a factor (0.5)^3

    .............Apply the formula with r=0.5 and n=6

    2. Write the first 5 terms of the specified sequence. Determine whether the sequence is arithmetic. If it is, find the common difference.
    ...

    Solution Summary

    The problems in this set include geometric and arithmetic sequences and means. Which of the sequences are geometric are determined.

    $2.49

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