https://file.aiquickdraw.com/mathbot/file/1726448886529jtydbgp5.jpg

You have provided a sequence from a geometric progression: 3, 6, 12, 24. To find the missing terms, we can observe the common ratio between consecutive terms. 

1. **Common Ratio Calculation**:
   - From 3 to 6: \( \frac{6}{3} = 2 \)
   - From 6 to 12: \( \frac{12}{6} = 2 \)
   - From 12 to 24: \( \frac{24}{12} = 2 \)

The common ratio (r) is 2.

2. **Finding the Next Term**:
   - The next term after 24 would be \( 24 \times 2 = 48 \).

Thus, the next term in this sequence is 48.

Would you like more details on this or have any other questions? Here are some related questions to consider:

1. What is the formula for the nth term of a geometric sequence?
2. How do you find the sum of the first n terms of a geometric sequence?
3. Can a geometric sequence have a common ratio that is a fraction?
4. What happens if the common ratio of a geometric sequence is negative?
5. How can you use the geometric sequence formula to solve real-world problems?

Tip: When working with sequences, always check if the pattern (either by multiplication or division) is consistent across all terms to correctly identify the type of sequence.

Here is a geometric sequence. Find the missing terms. 3, __, 6, __, 12, __, 24

Solve a geometric sequence problem by identifying the common ratio and finding missing terms. The sequence involves the numbers 3, 6, 12, and 24, with a common ratio of 2. Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation