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Sequences: A sequence is of the form a1, a2, az, a4 ,... where the a, are real numbers. Technically, a sequence is a function whose domain is the set of natural numbers, and whose range is a subset of the real numbers. Sequences may be defined in various ways: By listing, and appealing (via the three dots) to your intuition. Suppose the sequence is 1 2 3 4 2'5' 10' 17' 26' 37* 6. Then the n-th term is a, = Explicitly. For example, suppose a, = n". Then a = , a2 = , and az = Recursively. For example, the Fibonacci Sequence is defined by aj = az = 1, an+1 = an + an-1, n = 2,3, 4,.... Thus az = ,44 = , and as = Also a sequence may or may not have a limit. For the following sequences, enter the limit, or enter the letter "D" if the sequence diverges. a, = n an %3D n²+4n-5 (2n-1)(3n-1) an =

Sequences: A sequence is of the form a1, a2, az, a4 ,... where the a, are real numbers. Technically, a sequence is a function whose domain is the set of natural numbers, and whose range is a subset of the real numbers. Sequences may be defined in various ways: By listing, and appealing (via the three dots) to your intuition. Suppose the sequence is 1 2 3 4 2'5' 10' 17' 26' 37* 6. Then the n-th term is a, = Explicitly. For example, suppose a, = n". Then a = , a2 = , and az = Recursively. For example, the Fibonacci Sequence is defined by aj = az = 1, an+1 = an + an-1, n = 2,3, 4,.... Thus az = ,44 = , and as = Also a sequence may or may not have a limit. For the following sequences, enter the limit, or enter the letter "D" if the sequence diverges. a, = n an %3D n²+4n-5 (2n-1)(3n-1) an =

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Sequences: A sequence is of the form a1, a2, a3 , A4 , ... where the an are real numbers. Technically, a sequence is a function whose domain is the set of natural numbers, and whose range is a subset of the real numbers. Sequences may be defined in various ways: By listing, and appealing (via the three dots) to your intuition. Suppose the sequence is 1 2 3 6. 2'5' 10' 17' 26' 37 4 Then the n-th term is Explicitly. For example, suppose an = n". Then aj = a2 = and az = Recursively. For example, the Fibonacci Sequence is defined by aj = aɔ = 1, An+1 = an + an-1, n = 2, 3, 4, .... %3D Thus az = a4 = and a5 = Also a sequence may or may not have a limit. For the following sequences, enter the limit, or enter the letter "D" if the sequence diverges. an =n an %3D n²+4n-5 an = (2n-1)(3n-1)
Transcribed Image Text:Sequences: A sequence is of the form a1, a2, a3 , A4 , ... where the an are real numbers. Technically, a sequence is a function whose domain is the set of natural numbers, and whose range is a subset of the real numbers. Sequences may be defined in various ways: By listing, and appealing (via the three dots) to your intuition. Suppose the sequence is 1 2 3 6. 2'5' 10' 17' 26' 37 4 Then the n-th term is Explicitly. For example, suppose an = n". Then aj = a2 = and az = Recursively. For example, the Fibonacci Sequence is defined by aj = aɔ = 1, An+1 = an + an-1, n = 2, 3, 4, .... %3D Thus az = a4 = and a5 = Also a sequence may or may not have a limit. For the following sequences, enter the limit, or enter the letter "D" if the sequence diverges. an =n an %3D n²+4n-5 an = (2n-1)(3n-1)
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