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12.2 – Arithmetic Sequences and Series
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An introduction………… Arithmetic Series Sum of Terms Geometric Series Sum of Terms Arithmetic Sequences Geometric Sequences ADD To get next term MULTIPLY To get next term
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Find the next four terms of –9, -2, 5, …
Arithmetic Sequence 7 is referred to as the common difference (d) Common Difference (d) – what we ADD to get next term Next four terms……12, 19, 26, 33
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Find the next four terms of 0, 7, 14, …
Arithmetic Sequence, d = 7 21, 28, 35, 42 Find the next four terms of x, 2x, 3x, … Arithmetic Sequence, d = x 4x, 5x, 6x, 7x Find the next four terms of 5k, -k, -7k, … Arithmetic Sequence, d = -6k -13k, -19k, -25k, -32k
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Vocabulary of Sequences (Universal)
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Given an arithmetic sequence with
x 38 15 NA -3 X = 80
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Try this one: 1.5 16 x NA 0.5
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9 x 633 NA 24 X = 27
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-6 29 20 NA x
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Find n for the series in which
5 y x 440 3 Graph on positive window X = 16
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-19 353 ?? 63 x 6
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