
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Starting with a positive integer \( m \), Alicia creates a sequence by applying the following algorithm:

- Step 1: Alicia writes down the number \( m \) as the first term of the sequence.
- Step 2: If \( m \) is even, Alicia sets \( n = \frac{1}{2} m \). If \( m \) is odd, Alicia sets \( n = m + 1 \).
- Step 3: Alicia writes down the number \( m + n + 1 \) as the next term of the sequence.
- Step 4: Alicia sets \( m \) equal to the value of the term that she just wrote down in Step 3.
- Step 5: Alicia repeats Steps 2, 3, 4 until she has five terms, at which point she stops.

For example, starting with \( m = 1 \), Alicia's sequence would be \( 1, 4, 7, 16, 25 \).

Alicia starts a sequence with \( m = 3 \). What is the fifth term of her sequence?

Present the answer in LaTex format: \boxed{Your answer}
user