Give the sum: 100 x=1 EW

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Sum Calculation Problem

#### Problem Statement:
Compute the sum of the series given by the following expression:

\[
\sum_{x=1}^{100} n
\]

#### Options:
- 101
- 10,100
- 1010
- 5050

In this problem, you are required to calculate the sum of the first 100 natural numbers. Select the correct answer from the given options.

(Note: There are no graphs or diagrams associated with this problem. The equation and options are purely textual.)

---

### Explanation:

To solve this problem, you need to recognize that the sum of the first \( n \) natural numbers can be calculated using the formula:

\[
S = \frac{n(n+1)}{2}
\]

For \( n = 100 \):

\[
S = \frac{100 \times 101}{2} = 5050
\]

So, the correct answer is:

- **5050**

---

Practice more problems to strengthen your understanding of series and summations!
Transcribed Image Text:### Sum Calculation Problem #### Problem Statement: Compute the sum of the series given by the following expression: \[ \sum_{x=1}^{100} n \] #### Options: - 101 - 10,100 - 1010 - 5050 In this problem, you are required to calculate the sum of the first 100 natural numbers. Select the correct answer from the given options. (Note: There are no graphs or diagrams associated with this problem. The equation and options are purely textual.) --- ### Explanation: To solve this problem, you need to recognize that the sum of the first \( n \) natural numbers can be calculated using the formula: \[ S = \frac{n(n+1)}{2} \] For \( n = 100 \): \[ S = \frac{100 \times 101}{2} = 5050 \] So, the correct answer is: - **5050** --- Practice more problems to strengthen your understanding of series and summations!
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