
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 that the sequences ${a_n}$ and ${b_n}$ are both arithmetic sequences, and $a_1b_1=m$, $a_2b_2=4$, $a_3b_3=8$, $a_4b_4=16$, find the value of $m$.

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