
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
Write a general formula for each of the following sequences based on their initial terms.
(1) -1, 7, -13, 19, …
(2) 0.8, 0.88, 0.888, …
(3) - $$\frac {1}{2}$$, $$\frac {1}{4}$$, - $$\frac {5}{8}$$, $$\frac {13}{16}$$, - $$\frac {29}{32}$$, $$\frac {61}{64}$$, …

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