
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 resistance values in the presented circuit are $R_{1}=4$ Ω, $R_{2}=8$ Ω, and $R_{3}=16$ Ω. Determine how and by how much the total resistance of the circuit changes when the switch $K$ is closed.

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