find the common difference in the arithmethic sequence 1.6/4,2.10/4,3.......?

To find the common difference in the arithmetic sequence, we need to focus on the given terms.

The first two terms of the sequence are given as:

1st term: \( \frac{1.6}{4} \)
2nd term: \( \frac{2.10}{4} \)

Let's simplify these terms.

- \( \frac{1.6}{4} = 0.4 \)
- \( \frac{2.10}{4} = 0.525 \)

Now, to find the common difference \(d\), we subtract the first term from the second term:

\[
d = 0.525 - 0.4 = 0.125
\]

So, the common difference is \( 0.125 \).

Would you like more details on arithmetic sequences or have any questions?

Here are 5 related questions for further understanding:
1. What is the general form of an arithmetic sequence?
2. How do you find the \(n\)-th term of an arithmetic sequence?
3. Can the common difference be negative?
4. How does an arithmetic sequence differ from a geometric sequence?
5. What happens if the common difference in a sequence is zero?

**Tip**: Always check for consistency between terms in an arithmetic sequence by subtracting consecutive terms to verify the common difference.

find the common difference in the arithmetic sequence 1.6/4, 2.10/4, 3.......?

Learn how to find the common difference in the arithmetic sequence 1.6/4, 2.10/4, and more. This example covers fraction simplification and the arithmetic sequence formula. 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