Arithmetic and Geometric

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Presentation transcript:

Arithmetic and Geometric 4/3 Arithmetic and Geometric Sequences and Series Objective: Students will be able to understand arithmetic series and sequence. Students will be able to understand geometric series and sequence. EQ: How do I find a given term in an arithmetic or geometric sequence? How do I find the sum of an arithmetic or geometric series?

The 4th term of an arithmetic sequence is -9. The 8th term is 21. Find the first term and then 9th term. ____ ____ ____ ____ ____ ____ ____ ____ ____ 1st 9th

Geometric Sequences and Series

Recall… Arithmetic Series SUM of Terms Geometric Series SUM of Terms Arithmetic Sequences Geometric Sequences ADD To get next term MULTIPLY To get next term

Vocabulary of Sequences (Universal) sum of all terms of an infinite geometric sequence

Find the next three terms of 2, 3, 9/2, ___, ___, ___

And S9.

Find two geometric means between –2 and 54 -2, ____, ____, 54 The two geometric means are __ and ___, since –2, __, ___, 54 forms an geometric sequence

-3, ____, ____, ____

__ __ __ __ __

Insert one geometric mean between ¼ and 4