for an AP whose 3rd term is 5 and 7th term is 9, the value of d is?

Question

for an AP whose 3rd term is 5 and 7th term is 9, the value of d is?

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Alaia 4 weeks 2021-08-15T09:09:09+00:00 2 Answers 0 views 0

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    0
    2021-08-15T09:10:26+00:00

    Answer:

    tn=a+(n-1)d

    Hence,

    t3=a+2d

    i.e. a+2d=5….(1)

    t7=a+6d

    i.e a+6d=9

    a+2d+4d=9

    But from (1) a+2d=5

    5+4d=9

    4d=9-5

    4d=4

    d=4/4

    d=1

    Hence, Common different in 1.

    0
    2021-08-15T09:11:00+00:00

    Answer:

    3rd term of the AP: a+2d = 5 …(1)

    7th term: a+6d = 9 …(2)

    Subtract (1) from (2)

    4d = 4, or

    d = 1 and so a = 3.

    The AP is 3,4,5,6,….

    Step-by-step explanation:

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