https://file.aiquickdraw.com/mathbot/file/1726510470036645xa5fi.jpg

The problem presented is an arithmetic sequence with the given terms:

20, 26, 32, 38, 44, ...

### Part 1: Finding the common difference (d)
In an arithmetic sequence, the common difference \(d\) is found by subtracting any term from the one that follows it. Here, we can use:

\[
d = 26 - 20 = 6
\]

So, the common difference \(d = 6\).

### Part 2: Finding the next 3 terms
The last term given is 44, and we know that the common difference is 6. To find the next three terms, we add 6 to the last term repeatedly:

- Next term: \( 44 + 6 = 50 \)
- Second next term: \( 50 + 6 = 56 \)
- Third next term: \( 56 + 6 = 62 \)

### Final Answer:
- Common difference \(d = 6\)
- The next three terms are: 50, 56, and 62.

Would you like more details, or do you have any questions?

Here are 5 related questions for practice:
1. What is an arithmetic sequence?
2. How do you find the common difference in an arithmetic sequence?
3. What is the formula for the \(n\)-th term of an arithmetic sequence?
4. Can the common difference in an arithmetic sequence be negative?
5. How would you find the sum of the first \(n\) terms of an arithmetic sequence?

**Tip:** In an arithmetic sequence, each term increases or decreases by a constant amount, which makes them easy to predict and calculate.

Given: 20, 26, 32, 38, 44,... What is the common difference for this Arithmetic Sequence? What are the next 3 terms?

Learn how to find the common difference in the arithmetic sequence 20, 26, 32, 38, 44 and calculate the next 3 terms. This problem covers key arithmetic concepts and is suitable for students in 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