Find the missing arithmetic means in each sequence. 4. 12, 4 5.6, -3,_ 6. -7, _9

Algebra and Trigonometry (6th Edition)
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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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**Arithmetic Mean Practice Problems**

**Objective:**
Find the missing arithmetic means in each sequence.

**Exercises:**

1. Sequence: 12, ___, ___, 4  
   
2. Sequence: ___, 6, ___, ___, -3  

3. Sequence: -7, ___, ___, ___, 9  

**Instructions:**

1. Identify the common difference between terms in the given arithmetic sequence.
2. Fill in the blanks with the missing arithmetic means according to the common difference calculated.

**Example Solution:**

For the sequence 2, ___, ___, 8:

1. Calculate the common difference:
   - Total difference = 8 - 2 = 6
   - Number of intervals = 3 (since there are 2 missing positions + 1 position with value)
   - Common difference = 6 / 3 = 2

2. Fill in the sequence:
   - 2 + 2 = 4
   - 4 + 2 = 6
   - The complete sequence is 2, 4, 6, 8.

Now apply the same method to the sequences given in the exercises above.

**Note:**
Use this methodology to practice finding arithmetic means, a valuable skill for understanding sequences and series in mathematics.
Transcribed Image Text:**Arithmetic Mean Practice Problems** **Objective:** Find the missing arithmetic means in each sequence. **Exercises:** 1. Sequence: 12, ___, ___, 4 2. Sequence: ___, 6, ___, ___, -3 3. Sequence: -7, ___, ___, ___, 9 **Instructions:** 1. Identify the common difference between terms in the given arithmetic sequence. 2. Fill in the blanks with the missing arithmetic means according to the common difference calculated. **Example Solution:** For the sequence 2, ___, ___, 8: 1. Calculate the common difference: - Total difference = 8 - 2 = 6 - Number of intervals = 3 (since there are 2 missing positions + 1 position with value) - Common difference = 6 / 3 = 2 2. Fill in the sequence: - 2 + 2 = 4 - 4 + 2 = 6 - The complete sequence is 2, 4, 6, 8. Now apply the same method to the sequences given in the exercises above. **Note:** Use this methodology to practice finding arithmetic means, a valuable skill for understanding sequences and series in mathematics.
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