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 \ | \
0.25n – 1 | \ \
an \ | \
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(n, an) \ | \
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1 \ | \
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0.25(1) – 1 = –0.75 \ | \
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–0.75 \ | \
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(1, –0.75) \ | \
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2 \ | \
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0.25(2)–1=0.5–1=–0.5 \ | \
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–0.5 \ | \
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(2, –0.5) \ | \
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3 \ | \
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0.25(3)–1=0.75–1=–0.25 \\ | \
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–0.25 \ | \
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(3, –0.25) \ | \
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4 \ | \
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0.25(4) – 1 = 1 – 1 = 0 \\ | \
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0 \ | \
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(4, 0) \ | \
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5 \ | \
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0.25(5)–1 = 1.25–1 = 0.25 \\ | \
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0.25 \ | \
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(5, 0.25) \ | \
Graph the first five terms of the sequence.
\The nth terms of the sequence .
Graph the first five terms of the sequence.
\