1. Compute the value of each of these sums. Show the process of computation. 40 60 60 20 80 (a) (b) (3i + 4) (c) (5- i) (d) E(4* 2') (e) ? i=1 i=1 i=1 i=1 i=40

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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1. Compute the value of each of these sums. **Show the process of computation.**

(a) \(\sum_{i=1}^{40} 5i\)

(b) \(\sum_{i=1}^{60} (3i + 4)\)

(c) \(\sum_{i=1}^{60} (5 - i)\)

(d) \(\sum_{i=1}^{20} (4 \cdot 2^i)\)

(e) \(\sum_{i=40}^{80} i^2\)

---

Explanation: 

- For each subpart (a to e), you need to calculate the value of the sum by substituting values of \(i\) into the expression from the given range. 
- Show detailed steps for each calculation to ensure understanding of the summation process.
Transcribed Image Text:1. Compute the value of each of these sums. **Show the process of computation.** (a) \(\sum_{i=1}^{40} 5i\) (b) \(\sum_{i=1}^{60} (3i + 4)\) (c) \(\sum_{i=1}^{60} (5 - i)\) (d) \(\sum_{i=1}^{20} (4 \cdot 2^i)\) (e) \(\sum_{i=40}^{80} i^2\) --- Explanation: - For each subpart (a to e), you need to calculate the value of the sum by substituting values of \(i\) into the expression from the given range. - Show detailed steps for each calculation to ensure understanding of the summation process.
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