
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 sequence defined reaches its terms by summing up the corresponding terms of an arithmetic sequence and a geometric sequence. The arithmetic sequence starts at 3, with a common difference of 4, while the geometric sequence begins with 2 and has a common ratio of 2. Find the $20^\text{th}$ term of this combined sequence.

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