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23 March, 23:39

Which one is a rule for the nth term of an arithmetic sequence with a8 = 56 and d = 5?

A. an = 16 - 5n

B. an = 26 + 5n

C. an = 26 - 5n

D. an = 16 + 5n

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Answers (1)
  1. 24 March, 00:22
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    An for arithmetic sequence, an = a + (n - 1) d

    a8 = a + (8 - 1) x 5 = a + 7 x 5 = a + 35 = 56

    a = 56 - 35 = 21

    Therefore, an = 21 + (n - 1) x 5 = 21 + 5n - 5 = 16 + 5n

    an = 16 + 5n
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