
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
Write the formula for the general term of each series:
1) \( 1 + \frac{1}{4} + \frac{1}{9} + \frac{1}{16} + \ldots \),
2) \( \frac{2}{5} - \frac{4}{8} + \frac{6}{11} - \frac{8}{14} + \ldots \)

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