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Give a recursive definition of the set S of positive integer powers of 3, e.g. 3^ for n a positive integer. O a. BASIS STEP: 3 ES RECURSIVE STEP: If nES, then 3" e S. O b. BASIS STEP: 3 ES RECURSIVE STEP: If neS, then 3n + 1 € S. O c. BASIS STEP: 3 ES RECURSIVE STEP: If n + 1 E S, then 3" + 1 €S. O d. BASIS STEP: 3 ES RECURSIVE STEP: If n E S, then 3n ES.

Give a recursive definition of the set S of positive integer powers of 3, e.g. 3^ for n a positive integer. O a. BASIS STEP: 3 ES RECURSIVE STEP: If nES, then 3" e S. O b. BASIS STEP: 3 ES RECURSIVE STEP: If neS, then 3n + 1 € S. O c. BASIS STEP: 3 ES RECURSIVE STEP: If n + 1 E S, then 3" + 1 €S. O d. BASIS STEP: 3 ES RECURSIVE STEP: If n E S, then 3n ES.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Give a recursive definition of the set S of positive integer powers of 3, e.g. 3" for n a positive integer. a. BASIS STEP: 3 ES RECURSIVE STEP: If n E S, then 3" e S. O b. BASIS STEP: 3 ES RECURSIVE STEP: If n E S, then 3n + 1 ES. О с. BASIS STЕР: 3 E S RECURSIVE STEP: If n + 1 E S, then 3" + 1 E S. O d. BASIS STEP: 3 E S RECURSIVE STEP: If n E S, then 3n E S.
Transcribed Image Text:Give a recursive definition of the set S of positive integer powers of 3, e.g. 3" for n a positive integer. a. BASIS STEP: 3 ES RECURSIVE STEP: If n E S, then 3" e S. O b. BASIS STEP: 3 ES RECURSIVE STEP: If n E S, then 3n + 1 ES. О с. BASIS STЕР: 3 E S RECURSIVE STEP: If n + 1 E S, then 3" + 1 E S. O d. BASIS STEP: 3 E S RECURSIVE STEP: If n E S, then 3n E S.
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