
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 know the following about an arithmetic series and a geometric series: a) their terms are distinct natural numbers; b) their first term is 1; c) the sum of the first 4 terms is equal in both series. Let's write out four such pairs of series using preferably small numbers.

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