
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
Let  $P$  be a function defined by  $P(t)=a^t+b^t$ , where  $a$  and  $b$  are complex numbers.  If  $P(1)=7$  and  $P(3)=28$ , compute  $P(2)$ .

*Proposed by Justin Stevens*

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