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1. Are the following sequences arithmetic? If so, what is the recursive definition, and what is the next term in the sequence? a. 25, 20, 15, 10, .. b. 2, 4, 7, 12, 13. ..

1. Are the following sequences arithmetic? If so, what is the recursive definition, and what is the next term in the sequence? a. 25, 20, 15, 10, .. b. 2, 4, 7, 12, 13. ..

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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**Try It!** 1. Are the following sequences arithmetic? If so, what is the recursive definition, and what is the next term in the sequence? a. 25, 20, 15, 10, ... b. 2, 4, 7, 12, 18, ... **Explanation for Graphs/Diagrams:** There are no graphs or diagrams present. The content consists of two numerical sequences presented as part of an arithmetic sequence evaluation exercise. Each sequence needs to be analyzed to determine if it follows the pattern of an arithmetic progression, which requires a consistent difference between consecutive terms. For each sequence, the recursive definition (if applicable) should be identified, followed by determining the next term.
Transcribed Image Text:**Try It!** 1. Are the following sequences arithmetic? If so, what is the recursive definition, and what is the next term in the sequence? a. 25, 20, 15, 10, ... b. 2, 4, 7, 12, 18, ... **Explanation for Graphs/Diagrams:** There are no graphs or diagrams present. The content consists of two numerical sequences presented as part of an arithmetic sequence evaluation exercise. Each sequence needs to be analyzed to determine if it follows the pattern of an arithmetic progression, which requires a consistent difference between consecutive terms. For each sequence, the recursive definition (if applicable) should be identified, followed by determining the next term.
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