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2 June, 02:20

Find the first three terms of the arithmetic series described.

a_1=1, a_n=19, S_n=100

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Answers (1)
  1. 2 June, 05:57
    0
    1, 3, 5

    Step-by-step explanation:

    The sum of an arithmetic series is:

    S_n = n (a_1 + a_n) / 2

    100 = n (1 + 19) / 2

    n = 10

    The nth term of an arithmetic sequence is:

    a_n = a_1 + d (n - 1)

    19 = 1 + d (10 - 1)

    d = 2

    The common difference is 2. So the first three terms are 1, 3, and 5.
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