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Mastering Arithmetic and Geometric Sequences for Calculation Success

Enhance your math skills with an introduction to Arithmetic and Geometric Series. Learn how to sum terms effectively and find missing values in sequences. Practice adding and multiplying to get the next terms effortlessly.

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Mastering Arithmetic and Geometric Sequences for Calculation Success

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  1. Arithmetic Series Geometric Series Sum of Terms Sum of Terms An introduction………… Arithmetic Sequences Geometric Sequences ADD To get next term MULTIPLY To get next term

  2. 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

  3. 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

  4. Vocabulary of Sequences (Universal)

  5. Given an arithmetic sequence with X = 80

  6. Try this one:

  7. X = 27

  8. The two arithmetic means are –1 and 2, since –4, -1, 2, 5 forms an arithmetic sequence Find two arithmetic means between –4 and 5 -4, ____, ____, 5

  9. The three arithmetic means are 7/4, 10/4, and 13/4 since 1, 7/4, 10/4, 13/4, 4 forms an arithmetic sequence Find three arithmetic means between 1 and 4 1, ____, ____, ____, 4

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