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24 June, 00:15

Use the explicit formula an = a1 + (n - 1) • d to find the 350th term of the sequence below. 57, 66, 75, 84, 93, ... A. 3234 B. 3207 C. 3141 D. 3198

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  1. 24 June, 00:18
    0
    To use the equation we need a1 and d (the common difference).

    We have a1 = 57, we need to find d.

    93-84 = 9; 84-75=9; 75-66=9; 66-57=9

    d = 9

    a350 = 57 + (350-1) (9)

    a350 = 57 + (349) (9)

    a350 = 57 + 3141

    a350 = 3198
  2. 24 June, 00:37
    0
    Hello:

    57, 66, 75, 84, 93 is the arithmetic sequence

    the common difference is : d = 93-84=84-75 = 75-66 = 66-57 = 9

    by formula : an = a1 + (n - 1) • d

    n = 350

    a350 = 57 + (350-1) (9) = 3198 ... (answer: D. 3198)
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