
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
The common difference of the arithmetic progression (AP) is $(5x-11) - (2x - 3) = 3x - 8$. The common ratio of the geometric progression (GP) is $(2x+3) \div (x + 1) = \frac{2x + 3}{x + 1}$. If one term is common to both sequences, then $3x - 8 = \frac{2x + 3}{x + 1}$

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