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A. Sequences 1. Given that a2 = 6 and a6 = 96 are terms of a geometric sequence, find a4. 2. Given that a10 = 78 and a25 = 198 are terms of an arithmetic sequence, find an. 3. 6, 10, 16, 24,... Find the explicit formula for an, where n ≥ 1. -2 1 4 7 4. Find an, where n ≥ 1. 5 10 15 20 5. 5, 8, 17, 44, 125,...Find the recurrence formula for an, where n ≥ 1.

A. Sequences 1. Given that a2 = 6 and a6 = 96 are terms of a geometric sequence, find a4. 2. Given that a10 = 78 and a25 = 198 are terms of an arithmetic sequence, find an. 3. 6, 10, 16, 24,... Find the explicit formula for an, where n ≥ 1. -2 1 4 7 4. Find an, where n ≥ 1. 5 10 15 20 5. 5, 8, 17, 44, 125,...Find the recurrence formula for an, where n ≥ 1.

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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Sequences

A. Sequences 1. Given that a2 = 6 and a6 = 96 are terms of a geometric sequence, find a4. 2. Given that a10 = 78 and a25 = 198 are terms of an arithmetic sequence, find an. 3. 6, 10, 16, 24,... Find the explicit formula for an, where n ≥ 1. 4. 1 4 7 5 10 15 20 Find an, where n ≥ 1. 5. 5, 8, 17, 44, 125,...Find the recurrence formula for an, where n ≥ 1.
Transcribed Image Text:A. Sequences 1. Given that a2 = 6 and a6 = 96 are terms of a geometric sequence, find a4. 2. Given that a10 = 78 and a25 = 198 are terms of an arithmetic sequence, find an. 3. 6, 10, 16, 24,... Find the explicit formula for an, where n ≥ 1. 4. 1 4 7 5 10 15 20 Find an, where n ≥ 1. 5. 5, 8, 17, 44, 125,...Find the recurrence formula for an, where n ≥ 1.
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