I. Write True if the statement is true. If the statement is false, explain briefly why it is so. (a) If lim an #0 then, the sequence {an} is divergent. (b) Suppose the infinite series an is divergent. Then for any constant c, the series n=1 E can is also divergent. n=1 (c) Let s, = a1 +.. + an. If lim Sn = 0, then the series a, is convergent. n=1

I. Write True if the statement is true. If the statement is false, explain briefly why it is so. (a) If lim an #0 then, the sequence {an} is divergent. (b) Suppose the infinite series an is divergent. Then for any constant c, the series n=1 E can is also divergent. n=1 (c) Let s, = a1 +.. + an. If lim Sn = 0, then the series a, is convergent. n=1

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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