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.