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13 December, 23:18

Identify the 27th term of an arithmetic sequence where a1 = 38 and a17 = - 74

-20.5

-151

-22.75

-144

+1
Answers (1)
  1. 14 December, 03:16
    0
    Hello : the general terme is : an = ap + (n-p) r ... n, p in N and r in R

    let n=17 and p = 1

    a17 = a1 + (17-1) r

    -74 = 38 + 16r

    16r = - 112

    r = - 7

    an = a1 + (n-1) r

    a27 = 38+26 (-7) = - 144
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