1 1 + + 4 16 32 64 What is the sum of the first 20 terms in this series? Finding the sum of a series often becomes easier by looking at simpler cases. Instead of trying to add all 20 terms, add the first term, then the first two, the first three, and so on. Continue until you find a pattern. This pattern will help you solve the problem! Use the table to record your results. Number Sum of Terms 1 1 13 2 3 4 5 Suppose the above series is continued forever. Do you think the sum will ever be equal to 2? Why or why not? 7 20

1 1 + + 4 16 32 64 What is the sum of the first 20 terms in this series? Finding the sum of a series often becomes easier by looking at simpler cases. Instead of trying to add all 20 terms, add the first term, then the first two, the first three, and so on. Continue until you find a pattern. This pattern will help you solve the problem! Use the table to record your results. Number Sum of Terms 1 1 13 2 3 4 5 Suppose the above series is continued forever. Do you think the sum will ever be equal to 2? Why or why not? 7 20

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.4: Series And Their Notations

Problem 54SE: Write 0.65 as an infinite geometric series using summation notation. Then use the formula for...

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