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A. Write the first five (5) terms of the given series: an 2. a1 = 2, an+1 = 1. an = coS 3 1+ an

A. Write the first five (5) terms of the given series: an 2. a1 = 2, an+1 = 1. an = coS 3 1+ an

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 23RE: Use the formula for the sum of the first ii terms of an arithmetic series to find the sum of the...
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A. Write the first five (5) terms of the given series: an 1. an = cos 3 2. a1 = 2, an+1 1+ an B. Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. 1. {5, 8, 11, 14,...} 2. {-3, 2, -,-..} 4 8 C. Calculate to four decimal places the first few terms of the sequence and use them to plot the graph of the sequence by hand. Argue/Explain whether the sequence appears to have a limit or not. 2n 1. a, = 1+ (-)" 2. an = 1+(-1)"- n+ 4 D. Use the definition of limit of a sequnce: lim a, = L = Ve > 0,3N > 0s t. whenver n > N then Jan - L < e. to prove that the given sequence has the limit L. 1. {}- 8n L = 4 2. ;L =0 2n + 3
Transcribed Image Text:A. Write the first five (5) terms of the given series: an 1. an = cos 3 2. a1 = 2, an+1 1+ an B. Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. 1. {5, 8, 11, 14,...} 2. {-3, 2, -,-..} 4 8 C. Calculate to four decimal places the first few terms of the sequence and use them to plot the graph of the sequence by hand. Argue/Explain whether the sequence appears to have a limit or not. 2n 1. a, = 1+ (-)" 2. an = 1+(-1)"- n+ 4 D. Use the definition of limit of a sequnce: lim a, = L = Ve > 0,3N > 0s t. whenver n > N then Jan - L < e. to prove that the given sequence has the limit L. 1. {}- 8n L = 4 2. ;L =0 2n + 3
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