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17 February, 03:00

The first four terms in an arithmetic sequence are - 3, - 10, - 17, and - 24. Which expression can be used to find the nth term? What is the 25th term of the sequence?

A) - 7 (n - 1); - 168

B) - 3 + (n - 1) (-7); - 171

C) - 3 + (n + 1) (-7); - 185

D) 3 + (n - 1) (-7); - 165

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  1. 17 February, 03:12
    0
    Hello:

    the nth term is : An = A1 + (n-1) d d : common difference A1: the first term

    d = (-24) - (-17) = (-17) - (-10) = (-10) - (-3) = - 7 and A1 = - 3

    An = - 3 + (n-1) (-7) ... (B) - 3 + (n - 1) (-7))

    A25=-3 + (25-1) (-7) = - 3-168 = - 171
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