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Describe the pattern in each sequence. 10, 8, 6, 4, 2, ….. 100, 117, 134, 151, 168, …. 5/7, 8/7, 11/7, 2.

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Presentation on theme: "Describe the pattern in each sequence. 10, 8, 6, 4, 2, ….. 100, 117, 134, 151, 168, …. 5/7, 8/7, 11/7, 2."— Presentation transcript:

1 Describe the pattern in each sequence. 10, 8, 6, 4, 2, ….. 100, 117, 134, 151, 168, …. 5/7, 8/7, 11/7, 2

2 Arithmetic sequence– The difference between consecutive terms is constant. (Common Difference) Is the sequence arithmetic? 2, 4, 8, 16, … 6, 12, 18, 24, …. 2, 5, 7, 12, … 48, 45, 42, 39, …

3 Arithmetic Sequence Formulas Recursive Formula—a n = a n-1 + d Explicit Formula—a n = a 1 + (n – 1)d In these formulas, a n is the n th term, a 1 is the first term, n is the number of the term and d is the common difference.

4 Suppose you participate in a bike-a-thon for charity. The charity starts with $1100 in donations. Each participant must raise at least $35 in pledges. What is the minimum amount of money raised if there are 75 participants?

5 Arithmetic Mean Arithmetic mean = sum of the 2 #’s 2 The arithmetic mean can be used to find missing terms of any arithmetic sequence.

6 Find the missing term of the arithmetic sequence. 24, _____, 57 50, _____, 92


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