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Omni-MATH / A positive integer a is input into a machine. If a is odd, the output is a+3. If a is even, the output is a+5. This process can be repeated using each successive output as the next…

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problem

A positive integer aa is input into a machine. If aa is odd, the output is a+3a+3. If aa is even, the output is a+5a+5. This process can be repeated using each successive output as the next input. If the input is a=15a=15 and the machine is used 51 times, what is the final output?
Plain-text mathematical notation (without MathML)
A positive integer a is input into a machine. If a is odd, the output is a+3. If a is even, the output is a+5. This process can be repeated using each successive output as the next input. If the input is a=15 and the machine is used 51 times, what is the final output?
Original LaTeX notation
A positive integer $a$ is input into a machine. If $a$ is odd, the output is $a+3$. If $a$ is even, the output is $a+5$. This process can be repeated using each successive output as the next input. If the input is $a=15$ and the machine is used 51 times, what is the final output?

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Source and history

task_id
a8454d72-9258-5316-a0a1-d01c1d2f1e47
task_key
test--a8454d72-9258-5316-a0a1-d01c1d2f1e47
task_revision_id
1
config / split
/ test

Official source

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