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[DOC File]Mathematics IV - Henry County School District
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Common difference: In an arithmetic sequence or series, the difference between two consecutive terms is d, . Common ratio: In a geometric sequence or series, the ratio between two consecutive terms is r, . Explicit formula: A formula for a sequence that gives a direct method for determining the nth term of the sequence.
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[DOCX File]www.buckeyevalley.k12.oh.us
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Determine if each sequence below is arithmetic or geometric. Find the common difference or common ratio for the sequence. Finally, write both the recursive rule and the explicit rule. 1. 43, 39, 35, 31, 27, … Arithmetic or Geometric_____Common Difference or Common Ratio _____
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[DOC File]LESSON PLAN (WEEK 14)
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[2 minutes] A sequence is arithmetic if there exists a number d, called the common difference, such that for . i.e. If we start with a particular first term, and then add the same number successively, we obtain an arithmetic sequence. Activity II:. Exercises: [6 minutes] Determine whether the sequence is arithmetic. If it is, find the common ...
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[DOCX File]jamiesdavis.weebly.com
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- formula that defines a sequence, must specify one or more starting terms and a . recursive rule. that defines the . n. th term (any term/number) in relation to the previous term(s) For example, if your sequence is 4, 6, 8, 10, 12 we can create a formula that worksour first term, 4, would be labeled as: f(1)= 4. f(1)= f(n-1) + 2 where n ≥ 2
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[DOC File]An Investigation of Sequences and Series
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Use Y= and the table function of your calculator to verify that your rule works. b: ... Now generalize your findings to describe how we might generate an explicit definition for the terms of any arithmetic sequence. ... gives the sum of the first n terms in a geometric series where r is the common ratio and r 1.
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[DOC File]UNIT 1 - ARITHMETIC & GEOMETRIC SEQUENCES
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Find the missing terms for each sequence and state the common difference/ratio. Write an explicit rule . AND. a recursive rule for the nth term of the sequence. Then find . 1) Arithmetic or Geometric Sequence (circle one) Common difference/ratio:_____ Explicit Rule:_____ Recursive Rule:_____
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[DOC File]Pacing - Rochester City School District
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Tell whether a sequence is arithmetic, geometric, or neither. Find the common difference of an arithmetic sequence. Find the nth term of an arithmetic sequence. Find the common ratio in a geometric sequence. Find the nth term of a geometric sequence. Find the sum of a finite arithmetic series. Write a series using sigma notation
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[DOC File]Sequence and Series – TI-83 lab
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arithmetic sequence . with common difference d and first term u(1) or , then the . sum of the first n terms. of the sequence is represented by: This sum can be found by using the formula: Given = 7n-3. Write the first 8 terms. Use a calculator to add the first 8 terms. The sum is represented by . = _____. Use the formula described above to find ...
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Arithmetic sequence common ratio calculator