# Arithmetic and Geometric Sequences

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• ARITHMETIC SEQUENCES AND SERIES

• What is an arithmetic sequence? 4, 8, 12 , 16, 20 +4+4+4+4

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• WHAT IS THE COMMON DIFFERENCE? 4, 8, 12, 16, 20.. 4 is the common difference

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• WHAT IS A GEOMETRIC SEQUENCE? 3, 9, 27 , 81, 243.. x3x3x3x3

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• What is the common ratio? 2, 8, 32, 128, 512.. 4 is the common ratio

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• LETS PRACTICE!

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• IS THIS AN ARITHMETIC OR GEOMETRIC SEQUENCE?Arithmetic Sequence +5 5 is the common difference

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• Is this an arithmetic or geometric sequence?Geometric Sequence x6 6 is the common ratio

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• WHAT IS THE NEXT TERM IN THIS SEQUENCE?5, 20, 80, 320 , _____

x4x4x4x4

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• What is the next term in this sequence?

5, -1, -7 -13 , _____

-6-6-6-6

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• WHAT IS THE NEXT TERM IN THIS SEQUENCE?-3, 6, -12, 24 , _____

X-2X-2X-2X-2

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• What is the next term in this sequence?-400,-380,-360,-340 , ____

+20+20+20+20

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• WHAT IS THE NEXT TERM IN THIS SEQUENCE? 100, 75, 50 , 25____

-25-25-25-25

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• What is the next term in this sequence? 12, -48, 192 , -768____

x-4x-4x-4x-4

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