Find the common difference of the arithmetic sequence minus, 19, comma, minus, 14, comma, minus, 9, comma, point, point, .−19,−14,−9,...

To find the common difference \(d\) of an arithmetic sequence, we subtract the first term from the second term or any successive term from its previous one.

The given arithmetic sequence is: 
\[ -19, -14, -9, \dots \]

Let's subtract the first term from the second term:
\[
d = -14 - (-19) = -14 + 19 = 5
\]

Thus, the common difference \(d\) is \(5\).

Would you like a deeper explanation or any additional details?

Here are 5 questions related to arithmetic sequences to explore further:
1. How do you find the \(n\)-th term of an arithmetic sequence?
2. Can you calculate the sum of the first \(n\) terms of this sequence?
3. How would the sequence change if the common difference were negative?
4. What happens if the first term of the sequence changes?
5. How can arithmetic sequences model real-world situations?

**Tip:** In an arithmetic sequence, the common difference is always constant between consecutive terms!

Find the common difference of the arithmetic sequence −19, −14, −9, ...

Learn how to find the common difference of an arithmetic sequence using the formula d = a_n - a_(n-1). In this example, the sequence −19, −14, −9, ... has a common difference of 5. This problem is suitable for students in Grades 6-8 studying arithmetic sequences.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation