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The question asks to add 2 units to each term of the sequence \( a_n = 3n - \frac{1}{2} \).

To achieve this, we can represent the modified sequence as follows:

\[
a_n' = a_n + 2
\]

Substitute the given formula for \( a_n \):

\[
a_n' = \left(3n - \frac{1}{2}\right) + 2
\]

Now, simplify the expression:

\[
a_n' = 3n - \frac{1}{2} + \frac{4}{2} = 3n + \frac{3}{2}
\]

Thus, the new sequence after adding 2 to each term is:

\[
a_n' = 3n + \frac{3}{2}
\]

Would you like further details, or do you have any other questions?

Here are some related questions that may interest you:
1. What is the general formula for an arithmetic sequence?
2. How would the sequence change if 3 units were added instead?
3. What is the effect of subtracting a constant from each term in a sequence?
4. How does multiplying each term of a sequence by a constant affect it?
5. What is the formula for finding the sum of a sequence?

**Tip:** In sequence problems, changes like adding or multiplying each term by a constant alter the sequence’s formula systematically.

Sumem 2 unitats a cada un dels termes de la successió a_n = 3n - 1/2.

Learn how to modify the sequence a_n = 3n - 1/2 by adding 2 units to each term. This problem explores key concepts in arithmetic sequences and algebra, with a detailed solution suitable for Grades 9-10.

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