find the middle term of A.P. 19,16,13,10–53

Question

find the middle term of A.P. 19,16,13,10….-53

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Sadie 1 week 2021-09-15T19:01:32+00:00 1 Answer 0 views 0

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    2021-09-15T19:02:49+00:00

    Answer:

    -17

    Step-by-step explanation:

    AP = 19, 16, 13, 10,…, -53

    a = 19, d(common difference) = 16 – 19 = -3, Tn = -53

    Tn = a + (n – 1)d

    -53 = 19 + (n – 1)(-3)

    -53 = 19 – 3n + 3

    3n = 75

    n (total number of terms in the AP) = 25

    Now n is odd, therefore median = (n+1)/2 th term

    median = (25+1)/2 = 13th term

    T13 = 19 + (13 – 1)(-3)

    T13 = 19 – 39 + 3

    T13 = -17

    Middle term = -17

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