Find the 54th term of the arithmetic sequence -7,-23,-39

Question

Find the 54th term of the arithmetic sequence -7,-23,-39

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Valentina 2 months 2021-10-18T10:52:01+00:00 1 Answer 0 views 0

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    2021-10-18T10:53:42+00:00

    Answer:

    -855

    Step-by-step explanation:

    Find the 54th term of the arithmetic sequence -7,-23,-39

    The first term is a_1 = -7

    we see that the common difference = d = -23 – (-7) = -16

    so the formula:  a_n = (n- 1)*d + a_1

    a_54 = (54 – 1)* (-16) + (-7)

    a_54 = 53 *(-16) – 7 = -848 – 7 =  -855

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