C. Suppose real sequences (Sn) and (tn) are bounded. (That is, that their ranges are bounded sets.) i. Show the sequence given by (Sn + tn) is bounded. ii. For any real number a, show that the sequence (a-sn) is bounded.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 64E
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C. Suppose real sequences (Sn) and (tn) are bounded. (That is, that their ranges are bounded sets.)
i. Show the sequence given by (Sn + tn) is bounded.
ii. For any real number a, show that the sequence (a-sn) is bounded.
Transcribed Image Text:C. Suppose real sequences (Sn) and (tn) are bounded. (That is, that their ranges are bounded sets.) i. Show the sequence given by (Sn + tn) is bounded. ii. For any real number a, show that the sequence (a-sn) is bounded.
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