33. Find the sum of the following arithmetic series. Σ(8i +3) i=1 A. 726 B. 4,587 C. 561 D. 2,538

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Please answer #33
### Question 33: Sum of an Arithmetic Series

**Problem:** Find the sum of the following arithmetic series.

\[ \sum_{i=1}^{33} (8i + 3) \]

**Options:**
- A. 726
- B. 4,587
- C. 561
- D. 2,538

**Explanation:**

In this problem, you are given an arithmetic series in the form of \(8i + 3\) and need to determine its sum from \(i = 1\) to \(i = 33\).

This requires calculating the sum of each term from \(i = 1\) to \(i = 33\) for the expression given. The options provided give you potential answers to verify your calculations.
Transcribed Image Text:### Question 33: Sum of an Arithmetic Series **Problem:** Find the sum of the following arithmetic series. \[ \sum_{i=1}^{33} (8i + 3) \] **Options:** - A. 726 - B. 4,587 - C. 561 - D. 2,538 **Explanation:** In this problem, you are given an arithmetic series in the form of \(8i + 3\) and need to determine its sum from \(i = 1\) to \(i = 33\). This requires calculating the sum of each term from \(i = 1\) to \(i = 33\) for the expression given. The options provided give you potential answers to verify your calculations.
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