Use the arithmetic series 14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34) to answer each question. What is the common difference d of the arithmetic sequence on which the series is based? d =
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Answer:The difference (d) = - 8Step-by-step explanation:1. Let's review the data given to us for solving the question:Arithmetic series : 14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34)2. What is the common difference d of the arithmetic sequence on which the series is based? 1st an 2nd element difference = 14 - 6 = 82nd and 3rd element difference = - 6 - 2 = -83rd and 4th element difference = - 2 + 10 = 84th and 5th element difference = -10 + 18 = 8The difference (d) is 8 and it's negative because the series is lowering the previous value.3. Proof of d = - 814 - 8 = 66 - 8 = - 2- 2 - 8 = - 10- 10 - 8 = - 18- 18 - 8 = - 26-26 - 8 = -34
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