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21 November, 05:59

An arithmetic sequence has a first term of 3 and a fifth term of 31. What is the second term?

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  1. 21 November, 06:14
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    10

    Step-by-step explanation:

    let's call the difference in each term d so the sequence would look like

    3, (3+d), (3+2d), (3+3d), (3+4d)

    notice how in this sequence that (3+4d) is the fifth term so it must equal 31

    3+4d=31

    4d=28

    d=7

    now plug this into the second term

    (3 + (7))

    and we see that the second term is 10
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