
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
Let the sum of the first \\(n\\) terms of a geometric sequence \\(\\{a_n\\}\\) with a positive common ratio be \\(S_n\\), if \\(a_1=1\\) and \\(S_4-5S_2=0\\), then the value of \\(S_5\\) is \_\_\_\_.

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