
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
Given the sequence \(\{a_{n}\}\) with the sum of the first \(n\) terms \(S_{n} = n^{2} - 1\) \((n \in \mathbf{N}_{+})\), find \(a_{1} + a_{3} + a_{5} + a_{7} + a_{9}\).

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