
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 $\{a_n\}$ where $a_1=1$, $a_2=4$, $a_3=10$, if $\{a_{n+1}-a_n\}$ forms a geometric sequence, then $\sum\limits_{i=1}^{10}a_i=$ ______.

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