Arithmetic and Geometric Sequences Recursive and Explicit

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Arithmetic and Geometric Sequences Recursive and Explicit Formulas Day 2 Notation: t1 = first term in the sequence tn = the n th term tn-1 = the term BEFORE the n th term d = common difference (could be negative) r = common ratio (could be fraction)

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Arithmetic and Geometric Sequences Recursive and Explicit Formulas Day 2 Notation: t1 = first term in the sequence tn = the n th term tn-1 = the term BEFORE the n th term d = common difference (could be negative) r = common ratio (could be fraction)
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Arithmetic and Geometric Sequences Worksheet Arithmetic Sequence - is a sequence of terms that have a common _____ between them. General Term: Geometric Sequence - is a sequence of terms that have a common _____ between them. General Term: 1. Are the following sequences arithmetic, geometric, or neither? If they are arithmetic, state the value ...
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The first term of an arithmetic sequence whose common difference is 7 and whose 22nd term is given by a22 143 is which of the following? (1) 25 (3) 7 (2) 4 (4) 28 Answer Key 21 32 43 4242 4246 46410 aa aa ... CCAlgII.Unit-5.Lesson-2.Arithmetic-and-Geometric-Sequences.Answer-Key Author: Cecilia Doody
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Arithmetic Sequences and Sums Sequence. A Sequence is a set of things (usually numbers) that are in order.. Each number in the sequence is called a term (or sometimes "element" or "member"), read Sequences and Series for more details.. Arithmetic Sequence. In an Arithmetic Sequence the difference between one term and the next is a constant.. In other words, we just add the same value each time ...
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11.2 Arithmetic Sequences and Series 659 Arithmetic Sequences and Series USING ARITHMETIC SEQUENCES AND SERIES In an the difference between consecutive terms is constant. The constant difference is called the and is denoted by d. Identifying Arithmetic Sequences Decide whether each sequence is arithmetic. a.º3, 1, 5, 9, 13, . . . b.2, 5, 10 ...
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from real life. 3. In chemistry, water is called H ... How can you use an arithmetic sequence to describe a pattern? An arithmetic sequence is an ordered list of numbers in which the difference between each pair of consecutive terms, or numbers in the list, is the ... Writing the Terms of Arithmetic Sequences A sequence is an ordered list of ...
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of the term preceding it, the nth term is given by an 6 1 3 n 1. EXAMPLE 2 Finding the nth term Find a formula for the nth term of the geometric sequence 2, 1, 1 2, 1 4, . . . . Solution We obtain the ratio by dividing a term by the term preceding it: r 1 2 1 2 Each term after the first is obtained by multiplying the preceding term by 1 2. The ...
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Arithmetic Sequences Date Period - WordPress.com Arithmetic Sequences Date Period - WordPress.com
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is an = a1 + (n – 1) d, where a1 is the first term and d is the common difference.” Derivation of arithmetic sequence: a1 a2 = a1 + d a3 = a2 + d = (a1 + d) + d = a1 + 2d a4 = a3 + d = (a1 + 2d) + d = a1 + 3d Examples: 1. Find the nth term of the arithmetic sequence 11, 2, -7… 2. The first term of an arithmetic sequence is –15 and the ...
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666 Chapter 11 Sequences and Series Geometric Sequences and Series USING GEOMETRIC SEQUENCES AND SERIES In a the ratio of any term to the previous term is constant. This constant ratio is called the and is denoted by r. Identifying Geometric Sequences Decide whether each sequence is geometric. a.1, 2, 6, 24, 120, . . . b.81, 27, 9, 3, 1 ...
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Name: Date: Period: ARITHMETIC SEQUENCES & SERIES WORKSHEET Name: Date: Period: ARITHMETIC SEQUENCES & SERIES WORKSHEET
Name:_____ Date:_____ Period:_____ ARITHMETIC SEQUENCES & SERIES WORKSHEET The value of the nth term of an arithmetic sequence is given by the formula a n = a 1 + (n - 1)d where a 1 is the first term in the sequence, n is the position of the term in the sequence, and d is the common difference.
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Arithmetic Sequences Date_____ Period____ Determine if the sequence is arithmetic. ... Given the explicit formula for an arithmetic sequence find the first five terms and the term named in the problem. 7) a n ... = −9.2 Given a term in an arithmetic sequence and the common difference find the recursive formula and the
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Essential Question How can you recognize a geometric sequence from its graph? In a geometric sequence, the ratio of any term to the previous term, called the common ratio, is constant. For example, in the geometric sequence 1, 2, 4, 8, . . . , the common ratio is 2. Go to BigIdeasMath.com for an interactive tool to investigate this exploration.
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Arithmetic and Geometric Means - Kuta Software LLC Arithmetic and Geometric Means - Kuta Software LLC
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Geometric Sequences Date Period - Kuta Software LLC Geometric Sequences Date Period - Kuta Software LLC
Given the first term and the common ratio of a geometric sequence find the first five terms and the explicit formula. 15) a 1 = 0.8 , r = −5 16) a 1 = 1, r = 2 Given the first term and the common ratio of a geometric sequence find the recursive formula and the three terms in the sequence after the last one given. 17) a 1 = −4, r = 6 18) a 1 ...
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