
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 number of terms in an arithmetic progression (A.P.) is even, the sum of the odd-numbered terms is 36, the sum of the even-numbered terms is 45, and the last term exceeds the first term by 15, and the common difference is a whole number, determine the number of terms in the A.P.

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