In an A.P 7th term is 23 and 29th term is 85. Find the 18th term in the A.P
?​

Question

In an A.P 7th term is 23 and 29th term is 85. Find the 18th term in the A.P
?​

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Luna 2 years 2021-06-24T13:58:03+00:00 1 Answers 0 views 0

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    2021-06-24T13:59:19+00:00

    Answer:

    In AP

    Given :

    • a7 = 23
    • a9 = 85

    Solution :

    • a + 6d = 23 ~ equation 1
    • a + 8d = 85 ~ equation 2

    Solving equation 1 and 2

    • (-2d) = (-62)
    • 2d = 62
    • d = 62/2
    • d = 31
    • a + 6d = 23
    • a + 6(31) = 23
    • a + 186 = 23
    • a = 23 – 186
    • a = (-163)

    a18 = a + 17d

    • a18 = (-163) + 17(31)
    • a18 = (-163) + 527
    • a18 = 364

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