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 \ | \
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\ 0.5n – 1.5 \ \ | \
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an \ | \
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(n, an) \ | \
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1 \ | \
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0.5(1)–1.5 = 0.5–1.5 = – 1 \ | \
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–1 \ | \
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(1, – 1) \ | \
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2 \ | \
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0.5(2)–1.5 = 1–1.5 = –0.5 \ | \
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–0.5 \ | \
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(2, – 0.5) \ | \
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3 \ | \
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0.5(3)–1.5 = 1.5–1.5 = 0 \ | \
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0 \ | \
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(3, 0) \ | \
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4 \ | \
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0.5(4)–1.5 = 2–1.5 = 0.5 \ | \
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0.5 \ | \
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(4, 0.5) \ | \
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5 \ | \
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0.5(5)–1.5 = 2.5–1.5 = 1 \ | \
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1 \ \ \ | \
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(5, 1) \ | \
Graph the first five terms of the sequence.
\The nth terms of the sequence .
Graph the first five terms of the sequence.
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