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Powers Of Two

Exponentiation, a mathematical operation, is continuous, and never-ending. Powers of two are some examples of this mathematical operation, and here is a list of the first twenty five of them:

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 131072, 262144, 524288, 2097152, 4194304, 8388608, 16777608, and 33554432

Upon carefully looking at these numbers, we can see many visible patterns and sequences, which would otherwise be overlooked. For example, once every five numbers in the sequence, there is a six in the ones place.

Challenge: try to come up with another pattern (one that does not occur every five numbers) and find at least three numbers in which it repeats. In conclusion, exponentiation is infinite, never-ending, and continuous.