\"\"

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The arithmetic sequence is \"\".

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The first term \"\".

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Find the common difference by subtracting successive terms.

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\"\"

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The common difference (d) is 3.\"\"

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Find the nth term, so using the nth term formula: \"\".

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\"\"           (Substitute \"\", and d = 3)

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Distibute terms using distributive property: a(b c)= ab ac.

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\"\"

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\"\"             (Product of two difference signs is negative)

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\"\"                      (Product of two same signs is positive)

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Apply commutative property of addition: a + b = b + a.

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\"\"

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\"\"                                  (Apply additive inverse property: \"\")\"\"

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Find the 10th term in the sequence.

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\"\"                               (Substitute n = 10)

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\"\"                                     (Multiply: \"\")

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Make a table first five terms of the sequence \"\".

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

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an3n

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an

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(n, an)

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1

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\"\"

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    –3

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(1, 3)

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2

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\"\"

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6

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(2, 6)

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3

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\"\"

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9

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(3, 9)

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4

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\"\"

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12

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(4, 12)

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      5 \

\"\"

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   15   (5, 15)
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\"\"

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Graph of the first five terms of the sequence \"\".

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\"graph

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\"\"

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Graph of the first five terms of the sequence \"\".

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\"graph