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math sequence and series

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In an arthmetic sequence, the fourth term is 84 and the tenth term is 60. Find the maximum possible partial sum.

  • math sequence and series - ,

    a+3d = 84
    a+9d = 60
    -6d = 24
    d = -4
    a = 96

    Since the terms decrease, the maximum partial sum is just the first term: 96

  • math sequence and series - ,

    96

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