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 – 7 | \ \
an \ | \
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(n, an) \ | \
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1 \ | \
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5(1) – 7 = 5 – 7 = –2 \ | \
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–2 \ | \
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(1, –2) \ | \
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2 \ | \
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5(2) – 7 = 10 – 7 = 3 \ | \
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3 \ | \
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(2, 3) \ | \
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3 \ | \
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5(3) – 7 = 15 – 7 = 8 \\ | \
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8 \ | \
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(3, 8) \ | \
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4 \ | \
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5(4) – 7 = 20 – 7 = 13 \\ | \
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13 \ | \
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(4, 13) \ | \
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5 \ | \
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5(5) – 7 = 25 – 7 = 18 \\ | \
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18 \ | \
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(5, 18) \ | \
Graph the first five terms of the sequence.
\The nth terms of the sequence .
Graph the first five terms of the sequence.
\