
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
We can use the recursive formula of the sequence $\{a_n\}$: 
$$
a_n = \begin{cases} 
n, & \text{when } n \text{ is odd} \\
a_{\frac{n}{2}}, & \text{when } n \text{ is even}
\end{cases}
$$
($n \in \mathbb{N}^*$) to find the values of the terms in this sequence, ensuring that each term in the sequence is an odd number. Then, $a_{48} + a_{49} = \_\_\_\_\_\_$; it has been found that the odd numbers in this sequence will repeat, so the ninth occurrence of 5 is the $\_\_\_\_\_\_$ term of this sequence.

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