The image you uploaded shows a sequence of fractions:

$\frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \dots$

This is a simple sequence where the numerator increases by 1 with each term, and the denominator also increases by 1 but always stays 1 greater than the numerator.

General Formula:

We can express the nth term of this sequence as:

$\frac{n}{n+1}$

where $n$ is the position of the term in the sequence.

Would you like to know more about this sequence or its properties? Let me know if you'd like further details!

Here are some related questions:

1. How does the behavior of the terms change as $n$ increases?
2. What happens to the sum of the first few terms of this sequence?
3. How does the sequence relate to the concept of limits?
4. How do we find the sum of a sequence like this over a finite number of terms?
5. What are the properties of a sequence like this in terms of convergence or divergence?

Tip: Sequences like this one are often related to limits, and recognizing patterns can help in identifying their long-term behavior as $n \to \infty$.