3. If the common difference of an AP is 3, then what is a18-a13

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3. If the common difference of an AP is 3, then what is a18-a13

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Julia 10 months 2021-07-19T04:49:58+00:00 1 Answers 0 views 0

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  1. Ximena
    0
    2021-07-19T04:51:38+00:00
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    Answer:

    Given, common difference of the AP,

    d=5

    We know that,

    a

    n

    =a

    1

    +(n−1)d

    Then,

    a

    18

    =a

    1

    +17×d

    a

    13

    =a

    1

    +12×d

    Solving the two equations,

    a

    18

    −a

    13

    =a

    1

    +17d−a

    1

    −12d

    a

    18

    −a

    13

    =5d,

    Substituting d=5,

    a

    18

    −a

    13= 25

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