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21 March, 22:19

For the Rule of 78, for a 12-month period, the last term in the sequence is 12 and the series sums to 78.

For an 10 month period, the last term is and the series sum is.

For a 15 month period, the last term is and the series sum is.

For a 20 month period, the last term is and the series sum is.

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  1. 21 March, 22:23
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    Can u answer my question
  2. 21 March, 22:34
    0
    Step-by-step explanation:

    The formula for determining the nth term of an arithmetic sequence is expressed as

    Sn = n/2 (a + l)

    Confirming the rule of 78, the last term is 12 and the first term is 1. Therefore

    78 = 12/2 (1 + 12)

    78 = 6 (1 + 12)

    78 = 6 + 72

    For a 10 month period, the last term is 10, the sum of the series, S10 is

    S10 = 10/2 (1 + 10)

    S10 = 5 * 11 = 55

    For a 15 month period, the last term is 15, the sum of the series, S15 is

    S15 = 15/2 (1 + 15)

    S15 = 7.5 * 16 = 120

    For a 20 month period, the last term is 20, the sum of the series, S20 is

    S20 = 20/2 (1 + 20)

    S20 = 10 * 21 = 210
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