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24 October, 02:05

What is the 72nd term of arithmetic sequence-27,-11,5

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Answers (2)
  1. 24 October, 03:19
    0
    1109

    Step-by-step explanation:

    you can subtract the terms to see the difference between them

    -11 - (-27) = 16

    The sequence is increasing by 16

    you can plug that 16 in the formula for d

    a_n=a_1 + (n-1) d

    a_n=a_1 + (n-1) 16

    n represents the term you want to find in this case the 72nd

    a sub 1 is the first term of the sequence in this case - 27

    a_72=-27 + (72-1) 16

    a_72=-27 + (71) 16

    a_72=-27+1136

    a_72=1109
  2. 24 October, 05:03
    0
    1109.

    Step-by-step explanation:

    The common difference is - 11 - (-27) = 16 (also 5 - - 11 = - 16)

    72nd term = a1 + d (n - 1)

    = - 27 + 16 (71)

    = 1109.
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