The given sequence is: 1, 2, 4, 7.

To find the pattern, let's look at the differences between consecutive terms:

- \( 2 - 1 = 1 \)
- \( 4 - 2 = 2 \)
- \( 7 - 4 = 3 \)

The differences are increasing by 1 (1, 2, 3), so the next difference should be 4.

Therefore, the next term is:
\[
7 + 4 = 11
\]

Thus, the next number in the sequence is **11**.

Would you like a detailed explanation, or do you have any questions?

Here are 5 related questions to explore further:
1. What is the general formula for an arithmetic sequence?
2. How can you find the nth term in a sequence?
3. Can sequences be both arithmetic and geometric at the same time?
4. What is the difference between a sequence and a series in mathematics?
5. How do you find the sum of a finite arithmetic series?

**Tip:** Always check for consistent differences or ratios when identifying patterns in sequences.

Discover how to find the next number in the arithmetic sequence 1, 2, 4, 7. This problem teaches pattern recognition and arithmetic sequence principles, ideal for students in Grades 5-7. Explore how the differences between terms increase by 1, leading to the next term in the sequence.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation