Arithmetic Sequence Model

Which sequence is NOT an arithmetic sequence?

• -7, -13, -19, -25,...

• -10, -6, -2, 2,..

• 6, 8, 10, 12,...

• 3, 15, 75, 375,...

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CCSS.HSF.BF.A.2

We will start with the explicit formula. Given the following sequence, state the first term and common difference. Example 1:          4, 7, 10, 13, 16, …

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CCSS.HSF.BF.A.2

Now, find the term BEFORE term 1 (term 0).

Example 1:          4, 7, 10, 13, 16, …

•  1

•  4

•  7

•  0

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CCSS.HSF.BF.A.2

Which sequence(s) represent an arithmetic sequence?

• a and e

• a, b, and e

• b, c, and d

• b

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CCSS.HSF.BF.A.2

There were approximately 11,000 students enrolled at Western Carolina last year. If this figure goes up by about 225 students each year, how many years will it take the enrollment to reach 20,000 students?

• 15500 years

• 40 years

• 1 year

• 20 years

• 315

• 330

• 345

• 360

• first term

• initial value

• increment

• starting point

• change rate

• common ratio

• opens up/down

• distance

• slope

• common difference

Tags

CCSS.HSF.BF.A.2

Now, write the explicit formula for the given sequence.

Example 1:          4, 7, 10, 13, 16, …

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CCSS.HSF.BF.A.2

State the common difference:

Example 2: 21, 19, 17, 15, …

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CCSS.HSF.BF.A.2

Write an explicit rule to model the following sequence: Example 2: 21, 19, 17, 15, …

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CCSS.HSF.BF.A.2