
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 a geometric sequence with the first term being 1 and an even number of terms, the sum of the odd terms is 85, and the sum of the even terms is 170. Calculate the number of terms in this sequence.

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