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21 March, 18:50

What is a 15 of the sequence - 7, 2, 11, ... ?

A. 128

B. 110

C. 136

D. 119

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Answers (1)
  1. 21 March, 19:09
    0
    D. 119

    Step-by-step explanation:

    To find the common difference, we take the second term and subtract the first term

    2 - (-7) = 9

    We check by taking the third term and subtracting the second

    11-2 = 9

    The common difference is 9

    The formula for an arithmetic sequence is

    an = a1 + d (n-1)

    where a1 is the first term, d is the common difference and n is the number of the term in the sequence

    a1=-7, d=9 and we are looking for the 15th term so n=15

    a15 = - 7 + 9 (15-1)

    a15 = - 7+9 (14)

    =-7 + 126

    = 119
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