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[DOC File]Sequences and Series**
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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]Sequences – Rabbit Population
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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. 1 + …
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[DOC File]Worksheet 66 (12 - Cengage
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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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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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[DOC File]Fun with Sequences
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Given a term in an arithmetic sequence and the common difference find the first five terms and theexplicit formula.15) a − , d − 16) a − , d − Given a term in an arithmetic sequence and the common difference find the first five terms and the
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[DOC File]Arithmetic Sequences
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general term of an arithmetic sequence. is given by the formula . an = a1 + (n - 1)d. where . a1. is the . first term. in the sequence and . d. is the common difference. Finding the general term of a given arithmetic sequence: 1. Find the common difference, d, in the sequence by subtracting two successive terms: a k + 1 - a k = d for every ...
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[DOCX File]Arithmetic Sequences
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Find the next three terms in each sequence and find a formula for the sequence. 1. 1, 3, 5,___,___,___ 2. 8, 11, 14, 17,___,___,___ 3. 2, 3, 5, 8, 12,___,___,___
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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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Find a formula for the sequence