
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
A new sequence is formed from an arithmetic sequence with a common difference of $d$, consisting of $a_1, a_2, a_3, \ldots$ The new sequence is $a_1+a_4, a_2+a_5, a_3+a_6, \ldots$ Determine the common difference of the new sequence.

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