f the common differences of then anot an AP is 3, 15 is​

Question

f the common differences of
then anot
an AP is 3,
15 is​

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Allison 7 days 2021-09-14T17:40:05+00:00 2 Answers 0 views 0

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    0
    2021-09-14T17:41:15+00:00

    Given: d=3

    We know:

    a

    n

    =a+(n−1)d

    ∴a

    20

    −a

    15

    =[a+19d]−[a+14d]

    =5d

    =5×3

    =15

    0
    2021-09-14T17:41:20+00:00

    Answer:

    Let a be the first term of an A.P. and common difference be 3.So,a15=a+(15−1)d

    ⇒a15=a+14dAnd,

    ⇒a9=a+(9−1)d

    ⇒a9=a+8d

    On subtracting

    a15−a9=(a+14d)−(a+8d)=6d=6×3=18

    ⇒a15−a9=18

    Step-by-step explanation:

    please fallow me

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