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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. 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, …
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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
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, …
Arithmetic Sequence Formulas • Recursive Formula—an = an-1 + d • Explicit Formula—an = a1 + (n – 1)d In these formulas, an is the nth term, a1 is the first term, n is the number of the term and d is the common difference.
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?
Arithmetic Mean • Arithmetic mean = sum of the 2 #’s 2 • The arithmetic mean can be used to find missing terms of any arithmetic sequence.
Find the missing term of the arithmetic sequence. • 24, _____, 57 • 50, _____, 92