Awsome machine!

Number Theory Level 1

I have an awsome machine. Here's how it works.

Input:

  • Enter a positive integer:

  • Apply factorial function to it:

  • Multiply by 4:

  • Add 6:

  • Divide by 2:

Output:

  • Parity of the result: ??

What is the output?

Odd, sometimes Even,sometimes Even, always Odd, always Machine doesn't works

Munem Shahriar by Munem Shahriar , 18, Bangladesh

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1 solution

Let a a be the positive integer input.

Now, the result

= a ! × 4 + 6 2 = \frac{a!\times 4 + 6}{2}

= a ! × 2 + 3 = a! \times 2 + 3 , which is O d d A l w a y s \boxed{Odd} \boxed{Always} .

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