\"\"

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The arithmetic sequence is 6, 12, 18, 24,......

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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 6.\"\"

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

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\"\"                     (Substitute \"\", and d = 6)

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

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\"\"

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

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an = 6(n)

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an

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(n, an)

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1

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\"\"

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    6    

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(1, 6)

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2

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\"\"

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12

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(2, 12)

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3

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\"\"

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18

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(3, 18)

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4

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\"\"

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24

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(4, 24)

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      5       \"\"    30   (5, 30)
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\"\"

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

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\"\"

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\"\"

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

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\"\"