904 19. Let Σ cm = 1,307, c4 = 42, and c904 = 10. Compute · – m=5 20. Given that and z100 = € 30, calculate 100 M n=0 τη = 471, 99 903 Σ3cm m=4 n=0 (3tn 99 Σyn = 502, n=0 · Un)
904 19. Let Σ cm = 1,307, c4 = 42, and c904 = 10. Compute · – m=5 20. Given that and z100 = € 30, calculate 100 M n=0 τη = 471, 99 903 Σ3cm m=4 n=0 (3tn 99 Σyn = 502, n=0 · Un)
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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![**Educational Website Transcription**
---
### Problem 19:
Given:
\[
\sum_{m=5}^{904} c_m = 1,307, \quad c_4 = 42, \quad \text{and} \quad c_{904} = 10.
\]
Compute:
\[
\sum_{m=4}^{903} 3c_m
\]
### Problem 20:
Given that:
\[
\sum_{n=0}^{100} x_n = 471, \quad \sum_{n=0}^{99} y_n = 502,
\]
and \( x_{100} = 30 \).
Calculate:
\[
\sum_{n=0}^{99} (3x_n - y_n)
\]
---
### Explanation of Symbols:
1. **Summation (\(\sum\))**: Represents the sum of terms over a specified range.
2. **Variables (\(c_m, x_n, y_n\))**: Represent sequences or series of numbers associated with indices \(m\) and \(n\).
3. **Index of Summation**: \(m\) ranges from 4 to 903, and \(n\) ranges from 0 to 99.
The problems require calculating sums of expressions involving these indices and conditions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7cef3050-b0aa-40af-9112-57cab04a18ba%2F75952a8f-a45f-4edb-b22a-ddd281aca4c0%2Fnmc9qef_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Website Transcription**
---
### Problem 19:
Given:
\[
\sum_{m=5}^{904} c_m = 1,307, \quad c_4 = 42, \quad \text{and} \quad c_{904} = 10.
\]
Compute:
\[
\sum_{m=4}^{903} 3c_m
\]
### Problem 20:
Given that:
\[
\sum_{n=0}^{100} x_n = 471, \quad \sum_{n=0}^{99} y_n = 502,
\]
and \( x_{100} = 30 \).
Calculate:
\[
\sum_{n=0}^{99} (3x_n - y_n)
\]
---
### Explanation of Symbols:
1. **Summation (\(\sum\))**: Represents the sum of terms over a specified range.
2. **Variables (\(c_m, x_n, y_n\))**: Represent sequences or series of numbers associated with indices \(m\) and \(n\).
3. **Index of Summation**: \(m\) ranges from 4 to 903, and \(n\) ranges from 0 to 99.
The problems require calculating sums of expressions involving these indices and conditions.
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