$\"\"$

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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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a_n = 6(n)
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a_n
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(n, a_n)
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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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$\"\"$