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 \ | \
4n – 15 | \ \
an \ | \
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(n, an) \ | \
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1 \ | \
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4(1) – 15 = 4 – 15 = –11 \ | \
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–11 \ | \
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(1, –11) \ | \
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2 \ | \
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4(2) – 15 = 8 – 15 = –7 \ | \
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–7 \ | \
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(2, –7) \ | \
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3 \ | \
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4(3) – 15 = 12 – 15 = –3 \\ | \
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–3 \ | \
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(3, –3) \ | \
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4 \ | \
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4(4) – 15 = 16 – 15 = 1 \\ | \
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1 \ | \
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(4, 1) \ | \
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5 \ | \
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4(5) – 15 = 20 – 15 = 5 \\ | \
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5 \ | \
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(5, 5) \ | \
Graph the first five terms of the sequence.
\The nth terms of the sequence .
Graph the first five terms of the sequence.
\