https://file.aiquickdraw.com/mathbot/file/1728713985633tgga5pyi.jpg

The question asks you to classify a sequence related to stock prices, as seen from the options and text. Let's carefully interpret the content.

From the problem:

1. The share price drops as follows:
   - Initial price: $27.50
   - After 2nd hour: $27.25
   - After 4th hour: $27.00
   - It keeps dropping by the same pattern ($0.25 per interval).

### Identifying the sequence type:
- **Arithmetic sequences** have a common difference (each term changes by adding or subtracting a fixed number).
- **Geometric sequences** have a common ratio (each term changes by multiplying by a fixed number).

Here:
- The sequence decreases by a constant **difference of -0.25** each time (27.50 → 27.25 → 27.00).  
Thus, this is an **arithmetic sequence**.

### Correct Completion:
1. **Part A**: "have a common difference."
2. **Part B**: "arithmetic."

---

Would you like more details about arithmetic sequences or have further questions?

### Five Related Questions:
1. How do you differentiate between arithmetic and geometric sequences?
2. How can you find the common difference of an arithmetic sequence?
3. What formula determines the $n$-th term in an arithmetic sequence?
4. How do arithmetic sequences appear in real-world financial problems?
5. Can an arithmetic sequence ever increase? If so, how?

**Tip:** In an arithmetic sequence, if the common difference is negative, the sequence decreases steadily.

The price of shares in a popular stock started at $27.50 per share and dropped by $0.25 every two hours. Classify the sequence as arithmetic or geometric and explain your reasoning.

This problem involves classifying a sequence where stock prices decrease by $0.25 every two hours. Students will learn to identify arithmetic sequences and apply relevant formulas to analyze the problem. Suitable for Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation