\"\"

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The arithmetic sequence is \"\".

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Now we can find the common difference d by subtracting two consecutive terms.

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\"\"

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\"\"

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\"\"

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So, the common difference \"\".\"\"

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The arithmetic sequence with first term \"\", common difference \"\".

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Apply nth term of the arithmetic sequence formula: \"\".

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\"\"

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\"\"

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\"\"

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\"\"

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Make a table first five terms of the sequence.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
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n

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             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)

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\"\"

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Graph the first five terms of the sequence.

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\"\"

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\"\"

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The nth terms of the sequence \"\".

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Graph the first five terms of the sequence.

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\"\"