Arithmetic and Geometric Sequences

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Dividing by 12 is the same as ...

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× 1/12

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CCSS.4.NBT.B.6

CCSS.5.NBT.B.6

Front

What is the common difference of the arithmetic sequence below: -6, -1, 4, 9...?

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5

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CCSS.HSF.BF.A.2

Front

What is the common difference: -2, -11, -20, -29...?

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-9

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CCSS.HSF.BF.A.2

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What is the common ratio of this sequence: {2, 10, 50, 250, ... }?

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5

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CCSS.HSF.BF.A.2

Front

The individual numbers in a sequence are called...

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Term

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CCSS.HSF.BF.A.2

Front

What is an arithmetic sequence?

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A sequence of numbers in which the difference between consecutive terms is constant.

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CCSS.HSF.BF.A.2

Front

What is a geometric sequence?

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A sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

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CCSS.HSF.BF.A.2

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How do you find the common difference in an arithmetic sequence?

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Subtract the first term from the second term.

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CCSS.HSF.BF.A.2

Front

How do you find the common ratio in a geometric sequence?

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Divide the second term by the first term.

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CCSS.HSF.BF.A.2

Front

If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the fifth term?

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19

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CCSS.HSF.BF.A.2