Find the first term in the sequence for which a31 = 197 and d = 10. (a = a + (n-1) d.

Question

Find the first term in the sequence for which a31 = 197 and d = 10. (a = a +
(n-1) d.

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Clara 1 week 2021-09-09T13:57:09+00:00 1 Answer 0

Answers ( )

    0
    2021-09-09T13:58:39+00:00

    The first term is -103

    Step-by-step explanation:

    We will use the explicit formula for aithmetic sequence:

    the explicit formula is given by:

    a_n = a_1 + (n-1)d\\We\ know\ that\\d = 10\\a_{31} = 197

    Putting n=31 and d=10 in the formula

    a_{31}=a_1+(31-1)(10)\\197 = a_1 +(30)(10)\\197 = a_1 + 300\\a_1 = 197-300\\a_1 = -103

    Hence,

    The first term is -103

    Keywords: Arithmetic sequence, Common difference

    Learn more about arithmetic sequence at:

    • brainly.com/question/6356614
    • brainly.com/question/6281564

    #LearnwithBrainly

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