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.
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.s) is bounded.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb4074fd-9e3f-45a1-be46-9ca60cf326e6%2Fbc55f872-eac3-4d71-be1f-3b892d58fc25%2F8bl1u8_processed.png&w=3840&q=75)
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.s) is bounded.
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