Select the mathematical expression that is equivalent to the sum 2+6+18+54+·+2-3D. O 316-1 316-1 O 313 - 1
Select the mathematical expression that is equivalent to the sum 2+6+18+54+·+2-3D. O 316-1 316-1 O 313 - 1
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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Question

Transcribed Image Text:**Question:**
Select the mathematical expression that is equivalent to the sum \( 2 + 6 + 18 + 54 + \cdots + 2 \cdot 3^{15} \).
**Options:**
1. \( 3^{16} - 1 \)
2. \( \frac{3^{16} - 1}{2} \)
3. \( \frac{3^{15} - 1}{2} \)
4. \( 3^{13} - 1 \)
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