12.2 – Geometric Sequences and Series

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12.2 – Geometric Sequences and Series

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)

Find the next three terms of 2, 3, 9/2, ___, ___, ___ 3 – 2 vs. 9/2 – 3… not arithmetic

1/2 x 9 NA 2/3

Find two geometric means between –2 and 54 -2, ____, ____, 54 -2 54 4 NA x The two geometric means are 6 and -18, since –2, 6, -18, 54 forms an geometric sequence

-3, ____, ____, ____

x 9 NA

x 5 NA

*** Insert one geometric mean between ¼ and 4*** *** denotes trick question 1/4 3 NA

1/2 7 x