Super Summation 3

This is another math trick that proves a number is even or odd. (Remember that only applies to integers.)

Examples:

(Yes, I'm using the asterisk as a multiplication symbol!)

-1 + 1 - 1 + 1 = 0 = 1 - 1 + 1 - 1

The summation equals 0, which proves that 4 is even.

-1 + 1 - 1 + 1 - 1 = -1; 1 - 1 + 1 - 1 + 1 = +1

The summation equals ±1, which proves that 5 is odd.

-1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 = 0 = 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1

The summation equals 0, which proves that 12 is even.

The complex numbers you get when raising -1 to a non-integer power are points in the Unit Circle!

This number person character is Mr. Twelve Teeneet.

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© Derek Cumberbatch