
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
Observe the following three rows of numbers:<br/>$2$,$-4$,$8$,$-16$,$\ldots $①<br/>$1$,$-5$,$7$,$-17$,$\ldots $②<br/>$-3$,$9$,$-15$,$33$,$\ldots $③<br/>The $7$th number of rows ①, ②, and ③ are denoted as $a$, $b$, and $c$ respectively. Find $a-b+c$.

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