
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 ${a_n}$ that satisfies $$a_{1}=1，a_{n+1}= \frac {1}{2}a_{n}+1(n∈N^*)$$, by calculating $a_1$, $a_2$, $a_3$, $a_4$, we can conjecture the formula for $a_n$ as \_\_\_\_\_\_.

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