The arithmetic sequence is .
Now we can find the common difference d by subtracting two consecutive terms.
\So, the common difference .
The arithmetic sequence with first term , common difference
.
Apply nth term of the arithmetic sequence formula: .
Make a table first five terms of the sequence.
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n \ | \
17 – 2n | \ \
an \ | \
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(n, an) \ | \
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1 \ | \
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17–2(1) = 17–2 = 15 \ | \
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15 \ | \
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(1, 15) \ | \
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2 \ | \
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17–2(2) = 17–4 = 13 \ | \
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13 \ | \
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(2, 13) \ | \
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3 \ | \
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17–2(3) = 17–6 = 11 \ | \
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11 \ | \
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(3, 11) \ | \
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4 \ | \
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17–2(4) = 17–8 = 9 \ | \
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9 \ | \
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(4, 9) \ | \
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5 \ | \
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17–2(5) = 17–10 = 7 \ | \
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7 \ | \
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(5, 7) \ | \
Graph the first five terms of the sequence.
\The nth terms of the sequence .
Graph the first five terms of the sequence.
\