
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
Kevin Kangaroo begins hopping at the number line at 0 and wants to get to 4, but he can hop only $\frac{1}{4}$ of the distance towards his goal in each hop. Each hop tires him out so that he continues to hop $\frac{1}{4}$ of the remaining distance to his target. How far has he hopped after 7 hops? Express your answer as a common fraction.

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