
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 sequence {a<sub>n</sub>}, where a<sub>1</sub> = 2 and a<sub>n+1</sub> = 2a<sub>n</sub>:

1. Find a<sub>n</sub>.
2. If b<sub>n</sub> = n + a<sub>n</sub>, find the sum of the first 5 terms, S<sub>5</sub>, in the sequence {b<sub>n</sub>}.

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