for the arthritic sequence 5,9,13,17,21,… how many terms would you need to get to 129

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for the arthritic sequence 5,9,13,17,21,… how many terms would you need to get to 129

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  1. 9514 1404 393

    Answer:

      32

    Step-by-step explanation:

    The first term is 5 and the common difference is 9-5=4, so the n-th term is …

      an = a1 +d(n -1)

      an = 5 +4(n -1) = 4n +1

    Then the term number for the term 129 is …

      129 = 4n +1 . . . . . put the given value in the formula

      128 = 4n  . . . . . . . subtract 1

      32 = n . . . . . . . . . .divide by 4

    The 32nd term is 129.

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