
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 sequence $\{a_n\}$ that satisfies $$a_{1}=1, a_{n}+a_{n+1}=\left( \frac {1}{4}\right)^{n} (n\in\mathbb{N}^{*}), S_{n}=a_{1}+4\cdot a_{2}+4^{2}\cdot a_{3}+\ldots+4^{n-1}a_{n},$$ by analogy with the method used in textbooks to derive the formula for the sum of the first $n$ terms of a geometric sequence, we can obtain $$S_{n}- \frac {4^{n}}{5}a_{n}=\boxed{\frac {n}{5}}.$$

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