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6 January, 06:42

The 5th term of an AP is 11 and the 9th term is 7. Find the 16th term

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Answers (2)
  1. 6 January, 06:52
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    0

    Step-by-step explanation:

    subtract 11 by 7, you will get 4. Keep on subtracting by 1 to get to 0.
  2. 6 January, 06:55
    0
    16th term is 0.

    S1ep-by-step explanation:

    5th term = a1 + d (5 - 1) = 11 where a1 = first term and d = common difference

    9th term = a1 + d (9 - 1) = 7 where a1 = first term and d = common difference.

    a1 + 4d = 11

    a1 + 8d = 7

    Subtracting:

    4d - 8d = 11-7

    -4d = 4

    d = - 1.

    So a1 = 11 - 4 (-1) = 15.

    16th term = 15 - 1 (16-1)

    = 15 - 15

    = 0.
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