
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 a geometric sequence $\{a_n\}$ where $a_2 = 2$, and $a_2, a_3+1, a_4$ form an arithmetic sequence. Let the sum of the first $n$ terms of sequence $\{b_n\}$ be $S_n$, satisfying $$\frac {1}{S_{n}} = \frac {1}{n} - \frac {1}{n+1}$$, find the value of $a_8 + b_8$.

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