Chapter 8-1 &amp; 8-2 Notes

Chapter 8-1 - Page 1 of 3 Math 1332 College Mathematics Chapter 8-1 8-2 Notes Sequences and Series Sequences A sequence is a function that computes

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Page 1 of 3 Source: College Mathematics , Rockswold G., Bennett J., and Briggs W. C:/CLASES_COLEGIO/2007/NOTAS/0102/ 02//07 Math 1332 - College Mathematics Chapter 8-1 & 8-2 Notes Sequences and Series Sequences A sequence is a function that computes an ordered list. Infinite sequence is a function that has the set of natural numbers as its domain ( D = {1, 2, 3, …} . Finite sequence is a function with domain D = {1, 2, 3, …, n} , for some fixed natural number n . Let us consider the examples we previously learned when comparing linear growth versus exponential growth to understand what sequences are and what types there are: Note Æ with respect to the definition of a sequence, our domain is restricted to natural numbers! f(n) = 2n f(n) = 2 n What is the pattern, common difference or ratio in your output values? 2, 4, 6, 8 2, 4, 8, 16 l l l l d (difference) = r (ratio) = If there exists a Common Difference d that we add to the previous term (in output), then we deal with what is called an Arithmetic Sequence . In the example, we have a linear function.

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This note was uploaded on 01/05/2012 for the course MATH 1332.S0 taught by Professor Mariselaa.-martinez during the Fall '11 term at Collin College.

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Chapter 8-1 - Page 1 of 3 Math 1332 College Mathematics Chapter 8-1 8-2 Notes Sequences and Series Sequences A sequence is a function that computes

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