Intro to Arithmetic Sequences

A sequence is

• A list of things, usually numbers, that can be in any order

• A list of things, usually numbers, that are in numerical order

• A list of numbers only that can be in any order

• A list of numbers only that are in numerical order

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CCSS.HSF.BF.A.2

What is the third term in the sequence

11, 9, 7, 5...

• 11

• 9

• 7

• 5

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CCSS.HSF.BF.A.2

Which of the following is true about the sequence

37, 42, 47, 52, 57...

• a₁ = 47

• a₂ = 47

• a₃ = 47

• a₄ = 47

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CCSS.HSF.BF.A.2

Given the sequence 210, 205, 200, 195, 190..., what is a₇?

• 185

• 180

• 175

• 170

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CCSS.HSF.BF.A.2

If a sequence is arithmetic, all of the following are true except

• You add the same value to get from one term to the next

• The difference between a₁ and a₂ is the same as the difference between a₂ and a₃

• The sequence has a common difference

• The difference between any two numbers in the sequence is the same

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CCSS.HSF.BF.A.2

What is the common difference of the sequence

11, 20, 29, 38...

• 9

• -9

• 31

• -31

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CCSS.HSF.BF.A.2

True or False:

If a sequence is arithmetic, it has a common difference

• True

• False

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CCSS.HSF.BF.A.2

True or False:

Common difference must be positive since we have to add it to each term to find the next term in the sequence.

• True

• False

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CCSS.HSF.BF.A.2