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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
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:** 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. \( 3^{13} - 1 \)
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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