An arithmetic sequence has a common difference of 4 and the 3rd term is 10. What is the 6th term?

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An arithmetic sequence has a common difference of 4 and the 3rd term is 10. What is the 6th term?

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Maris 6 months 2021-07-30T08:26:18+00:00 1 Answers 17 views 0

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  1. Edana
    0
    2021-07-30T08:28:08+00:00
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    Answer:

    22

    Step-by-step explanation:

    Given that,

    Common difference, d = 4

    3rd term, a_3=10

    nth term of an AP is given by : a_n=a+(n-1)d, a is first term

    For 3rd term,

    10=a+(3-1)4\\\\10=a+8\\\\a=2

    Now 6th term is given by :

    a_6=2+(6-1)4\\\\a_6=22

    Hence, the 6th term is 22.

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