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[DOC File]Fun with Sequences
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Let be a sequence with and suppose that exists for every real number. Then the following cases apply. Case 1. Case 2. Sequence an infinite set of ordered numbers. 1, 4, 9, 16, 25,… is the sequence of perfect squares. Series the sum of all the terms of a sequence. …
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[DOC File]Arithmetic and Geometric Sequences
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Regents Question: If a sequence is defined recursively by f(0) = 2 and f(n+1) = -2f(n)+3 for n ≥0, then f(2) is equal to. 2) 3) A) Find the fourth term of the sequence B) Write the first five terms of the sequence: C) Find the 11th term of the sequence D) Find the 9th term of the sequence Write a formula for the sequence 4, 8, 12, 16, 20, 24
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How to Find the General Term of Sequences - Owlcation ...
Use the following formula to find any term of an arithmetic sequence. an = the term in the sequence you are trying to find (n represents the desired term number) a1 = the first term in the sequence. d = the common difference. Example: What is the 10th term of the following sequence? 1, 5, 9, 13, … So the 10th term of this sequence is 37. Example:
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[DOCX File]Home / Homepage
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Write an explicit formula for this sequence. 3.Find the first five terms of each sequence defined by the given formula. Then determine if the sequence is arithmetic, geometric or neither. b. Note: These are variations of the greatest integer function. The first is called the floor function & …
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[DOCX File]Mayfield City Schools
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If a1 is the first term of an arithmetic sequence, an the nth term, d is the common difference, a formula for finding the value of the nth term of an arithmetic sequence is: an = a1 + (n – 1)d. The formula for the nth term of an arithmetic sequence may be used to find any term of the sequence.
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[DOC File]Arithmetic Sequences
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Find a formula for a geometric sequence. Find the nth term of a geometric sequence. Find the sum of a finite geometric sequence. Use a geometric sequence to solve an application problem. Motivation & Warm up discussion: Begin by considering a real-life example which generates numbers that form a geometric sequence.
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[DOC File]Sequences and Series**
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Find an explicit formula for the sequence that represents the number of revolutions after n seconds. Geometric. a n = a 1 r n-1 a 1 =10 r=1-.75=.25 . a n =10 .25 n-1 . 2. Suppose you drop a tennis ball from a height of ; 15 feet. After the ball hits the floor, it rebounds to 85% of its previous height. Write an explicit formula for the sequence.
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Find the formula of the sequence