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To solve the problem, let's break it down step by step.

### Given:
The sequence \( (u_n) \) is defined by the formula:
\[
u_n = 1 + 3n
\]

### Task:
Express \( u_{n+1} - u_n \) as a function of \( n \).

### Step-by-Step Solution:

1. **Find \( u_{n+1} \):**
   \[
   u_{n+1} = 1 + 3(n+1)
   \]
   Simplify it:
   \[
   u_{n+1} = 1 + 3n + 3 = 3n + 4
   \]

2. **Calculate \( u_{n+1

Learn how to express u_{n+1} - u_n in terms of n with a step-by-step solution. This sequence problem involves algebraic manipulation and is suitable for high school students.

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