Recursive formula for geometric sequence
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Recursive formula - 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
[DOC File]Arithmetic Sequences
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Definition: A geometric sequence is a sequence in which each term, after the first is formed by multiplying the previous term by a fixed quantity. For example: 3, 6, 12, 24, … is a geometric sequence, each term is being multiplied by 2 to produce the next term. ... Write a recursive formula for the sequence. 61. Write a recursive formula for ...
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generate the terms of the geometric sequence with first term g1 and constant ratio r. Teacher Examples: a. What is the 9th term of the sequence 2, 4, 6, 8,…? Did you use an explicit formula or a recursive formula to get the 9th term in part a. Give a recursive formula for the increasing sequence of positive odd numbers. Which term is 344 in ...
[DOC File]Geometric Sequences
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In general, for a geometric sequence, the recursive formula is an = an – 1 • r. That rule plus the value of the first term (a1) defines the sequence. Before using the Gizmo, consider the sequence …
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Recursive Rule: a formula that requires the computation of the previous term in order to find the next term of a sequence. (1) starting term (2) rule that uses previous term The example below is a recursive sequence because you need the first term to find the second term.
[DOC File]Equations & Inequalities
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SWBAT write geometric sequences recursively Quick Review. An . arithmetic sequence. is defined by a constant common _____ or _____. The . recursive. formula for an arithmetic sequence is an = _____ The . explicit. formula for an arithmetic sequence is an = _____ 1. Write recursive formulas for the following sequences:
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2.Write the first five terms of an geometric sequence with initial term 3 and common ratio 4. Write a recursive formula for this sequence.b. 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.
[DOC File]UNIT 1 - ARITHMETIC & GEOMETRIC SEQUENCES
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Recursive Rule:_____ Determine whether each situation represents an arithmetic or geometric sequence and then find the recursive and explicit equation for each. 3) Scott decides to add running to his exercise routine and runs a total of one mile his first week.
[DOC File]Recursive Sequence
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Determine if the sequence is arithmetic or geometric. t2 – t1 = 24 – 12 = 12. t3 – t2 = 48 – 24 = 24 Therefore, not arithmetic. t2 ÷ t1 = 24 /12 = 2. t3÷t2 = 48 /24 = 2 Therefore, it is geometric since there is a common ratio. Step 3: Use the recursive formula for a geometric sequence. t1 = a, tn = tn-1 · r , …
[DOC File]Arithmetic and Geometric Sequences
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2, 6, 18, 54, … This is an increasing geometric sequence with a common ratio of 3. 1,000, 200, 40, 8, … This is a decreasing geometric sequence with a common ratio or 0.2 or . Geometric sequences can also be recursive or explicit. Remember recursive means you need the previous term and the common ratio to get the next term.
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