Arithmetic Sequence Equation to Linear Equation

Now that we have found both the common difference and the first term of our sequence (6, 9, 12, 15, ...), we can write an EXPLICIT FORMULA for the arithmetic sequence. Formula: a_n=a_1+d(n-1) Hint: a_1= first term & d= common difference

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CCSS.HSF.BF.A.2

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CCSS.HSF.BF.A.2

What is the tenth term in the arithmetic sequence:

12, 19, 26, 33, ...

Hint: Find the common difference and then either continue the pattern or write and use an explicit formula.

• 47

• 61

• 75

• 96

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CCSS.HSF.BF.A.2

• 530

• 685

• 755

• 820

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CCSS.HSF.BF.A.2

Linear Functions relate to the:

• A. Geometric Sequence

• B. Arithmetic Sequence

• C. Exponential Sequence

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Write an explicit formula for the sequence 45, 40, 35, 30, ...

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CCSS.HSF.BF.A.2

Write an explicit formula for the sequence 1.5, 2.0, 2.5, 3.0, ...

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CCSS.HSF.BF.A.2

Write an explicit formula for the sequence -9, -7, -5, -3, ...

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CCSS.HSF.BF.A.2

Write the explicit formula for the sequence shown below.

• a_n=3+6(n-1)

• a_n=3−6(n-1)

• a_n=6−3(n-1)

• a_n=6+3(n-1)

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CCSS.HSF.BF.A.2

Write the explicit formula for the sequence shown below.

• a_n=1+5(n-1)

• a_n=1−5(n-1)

• a_n=5−(n-1)

• a_n=5+(n-1)

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CCSS.HSF.BF.A.2