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Geometric progression (view source)
Revision as of 01:32, January 20, 2007
, 01:32, January 20, 2007D'oh!
The sequence 2, 4, 8, 16, 32 is simply the "powers of two:" two, two squared, two cubed, two to the fourth power, and so on. This can be written using ''exponents'' this way:
The sequence 2, 4, 8, 16, 32 is simply the "powers of two:" two, two squared, two cubed, two to the fourth power, and so on. This can be written using ''exponents'' this way:
::2<sup>1</sup>, 2<sup>2</sup>, 2<sup>4</sup>, 2<sup>8</sup>, 2<sup>16</sup>, 2<sup>32</sup>.
::2<sup>1</sup>, 2<sup>2</sup>, 2<sup>3</sup>, 2<sup>4</sup>, 2<sup>5</sup>, 2<sup>6</sup>.
This is why geometric progressions are sometimes called "exponential growth."
This is why geometric progressions are sometimes called "exponential growth."