%3D i=2
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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Transcribed Image Text:**Question (a):**
Evaluate the summation expression \(\sum_{i=2}^{4} (3i - 1)\).
**Solution:**
This is a finite sum that requires evaluating the expression \(3i - 1\) for each integer value of \(i\) from 2 to 4, and then summing these results.
Calculate each term:
- For \(i = 2\): \(3(2) - 1 = 6 - 1 = 5\)
- For \(i = 3\): \(3(3) - 1 = 9 - 1 = 8\)
- For \(i = 4\): \(3(4) - 1 = 12 - 1 = 11\)
Add the results: \(5 + 8 + 11 = 24\).
Thus, the value of \(\sum_{i=2}^{4} (3i - 1)\) is 24.
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