https://r2.erweima.ai/mathbot/image/17261236305940v71dxlq.jpg

The given problem asks to find the limit of a sequence defined as:

\[
a_n = \frac{88n}{7}
\]

From the context of the image and the progression of values, we can calculate the limit of this sequence as \( n \to \infty \).

### Solution:
The general term of the sequence is:

\[
a_n = \frac{88n}{7}
\]

As \( n \to \infty \), we evaluate the limit:

\[
\lim_{n \to \infty} a_n = \lim_{n \to \infty} \frac{88n}{7}
\]

This is a linear expression in \(n\), so as \(n\) increases, the value of \( a_n \) will also increase without bound.

Thus, the limit is:

\[
\lim_{n \to \infty} a_n = \infty
\]

The "+ 7" seen in the image might have been part of another instruction or notation, but for this specific sequence, the correct limit is \( \infty \).

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Would you like a more detailed breakdown of this solution or have any additional questions?

Here are some related questions you might want to explore:
1. What is the meaning of limits in sequences?
2. How do you determine if a sequence diverges or converges?
3. What other types of sequences have infinite limits?
4. How do arithmetic and geometric sequences differ in their limits?
5. What would happen if we added a constant to the formula?

**Tip:** When dealing with linear sequences like this one, check for the degree of \(n\) to determine how the sequence behaves as \(n \to \infty\).

Find the limit of the sequence defined as a_n = 88n/7.

Learn how to find the limit of the sequence a_n = 88n/7 as n approaches infinity. This problem covers key mathematical concepts like sequences and limits, suitable for students in Grades 9-12.

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