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Find x and y such that 5, x, y, 38 is part of an arithmetic sequence. X = y = Then find x and y so that the sequence is part of a geometric sequence. X = y = (Warning: x and y might not be integers.)

Find x and y such that 5, x, y, 38 is part of an arithmetic sequence. X = y = Then find x and y so that the sequence is part of a geometric sequence. X = y = (Warning: x and y might not be integers.)

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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**Arithmetic and Geometric Sequences Challenge** 1. **Arithmetic Sequence Problem:** - Find \( x \) and \( y \) such that the sequence \( 5, x, y, 38 \) is part of an arithmetic sequence. - Solution boxes: - \( x = \_\_\_\_\_ \) - \( y = \_\_\_\_\_ 2. **Geometric Sequence Problem:** - Then find \( x \) and \( y \) so that the sequence is part of a geometric sequence. - Solution boxes: - \( x = \_\_\_\_\_ \) - \( y = \_\_\_\_\_ *Note: \( x \) and \( y \) might not be integers.*
Transcribed Image Text:**Arithmetic and Geometric Sequences Challenge** 1. **Arithmetic Sequence Problem:** - Find \( x \) and \( y \) such that the sequence \( 5, x, y, 38 \) is part of an arithmetic sequence. - Solution boxes: - \( x = \_\_\_\_\_ \) - \( y = \_\_\_\_\_ 2. **Geometric Sequence Problem:** - Then find \( x \) and \( y \) so that the sequence is part of a geometric sequence. - Solution boxes: - \( x = \_\_\_\_\_ \) - \( y = \_\_\_\_\_ *Note: \( x \) and \( y \) might not be integers.*
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