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What is the next term in the sequence below?

The given sequence starts as follows:

\[
\frac{3}{5}, \frac{4}{5}, 1, \frac{6}{5}, \dots
\]

Let's analyze this sequence:

- The first term is \(\frac{3}{5}\).
- The second term is \(\frac{4}{5}\).
- The third term is \(1 = \frac{5}{5}\).
- The fourth term is \(\frac{6}{5}\).

The pattern suggests that each term increases by \(\frac{1}{5}\). Therefore, the next term after \(\frac{6}{5}\) would be:

\[
\frac{6}{5} + \frac{1}{5} = \frac{7}{5}
\]

Thus, the next term in the sequence is \(\frac{7}{5}\).

Would you like more details or have any further questions?

Here are 5 related questions to expand on this:
1. What type of sequence is this, arithmetic or geometric?
2. How do you find the nth term in an arithmetic sequence?
3. What is the general form of an arithmetic progression?
4. Can this sequence be modeled by a linear equation?
5. How would the sequence change if the increment were \(\frac{2}{5}\)?

**Tip:** In an arithmetic sequence, each term is obtained by adding a constant difference to the previous term. Identifying this difference is key to predicting future terms.

What is the next term in the sequence below? 3/5, 4/5, 1, 6/5, ...

Discover how to find the next term in the arithmetic sequence starting with 3/5, 4/5, 1, 6/5. This problem involves understanding arithmetic progression and using formulas to calculate the nth term. Ideal for students in Grades 6-8.

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