
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 the function $y=x^{2}(x > 0)$, the x-intercept of the tangent line to the curve at the point $(a_{k},a_{k}^{2})$ is denoted as $a_{k+1}$. Let $k$ be a positive integer and $a_{1}=16$. Find the value of $a_{1}+a_{3}+a_{5}=\_\_\_\_\_\_\_\_\_\_\_.$

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