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 \ | \
–5n + 2 | \ \
an \ | \
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(n, an) \ | \
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1 \ | \
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–5(1) + 2 = –5 + 2 = –3 \ | \
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–3 \ | \
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(1, –3) \ | \
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2 \ | \
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–5(2) + 2 = –10 + 2 = –8 \ | \
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–8 \ | \
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(2, –8) \ | \
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3 \ | \
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–5(3) + 2 = –15 + 2 = –13 \\ | \
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–13 \ | \
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(3, –13) \ | \
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4 \ | \
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–5(4) + 2 = –20 + 2 = –18 \\ | \
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–18 \ | \
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(4, –18) \ | \
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5 \ | \
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–5(5) + 2 = –25 + 2 = –23 \\ | \
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–23 \ | \
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(5, –23) \ | \
Graph the first five terms of the sequence.
\The nth terms of the sequence .
Graph the first five terms of the sequence.
\