
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
Find the sum of the following sequences:

(1) $S_{n}=(2-3\times \frac {1}{5})+\[4-3\times( \frac {1}{5})^{2}\]+\[6-3\times( \frac {1}{5})^{3}\]+...+\[2n-3\times( \frac {1}{5})^{n}\]$

(2) $S_{n}= \frac {1}{1\times2}+ \frac {1}{2\times3}+ \frac {1}{3\times4}+ \frac {1}{4\times5}+...+ \frac {1}{n\times(n+1)}$

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