In an arithmetic sequence, the arithmetic mean between two terms is the average of those two terms. Let's denote the two terms as $a_1$ and $a_2$. The arithmetic mean is given by:

$\text{Arithmetic Mean} = \frac{a_1 + a_2}{2}$

According to the problem, the arithmetic mean is 39, and one of the terms is 32. Let's assume $a_1 = 32$ and find $a_2$:

$39 = \frac{32 + a_2}{2}$

To solve for $a_2$, multiply both sides by 2:

$78 = 32 + a_2$

Now, subtract 32 from both sides:

$a_2 = 46$

So, the other term is 46.

Would you like a detailed explanation or do you have any questions? Here are some related questions you might find helpful:

1. How can you find the arithmetic mean of three or more terms in a sequence?
2. What is the general formula for the $n$th term in an arithmetic sequence?
3. How does the arithmetic mean relate to the concept of a median in a sequence?
4. What is the sum of the first $n$ terms in an arithmetic sequence?
5. How do you find the common difference in an arithmetic sequence when given two terms?

Tip: In any arithmetic sequence, the difference between consecutive terms remains constant, which is a key property in solving related problems.