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| a formula for determining additional values or derivatives of a function from the relationship of its given values |
| a positive number that is equal to the sum of all positive integers that are submultiples of it, as 6, which is equal to the sum of 1, 2, and 3 |
| geometric progression | |
| —n | |
| Compare arithmetic progression a sequence of numbers, each of which differs from the succeeding one by a constant ratio, as 1, 2, 4, 8, … | |
| geometric progression
A sequence of numbers in which each number is multiplied by the same factor to obtain the next number in the sequence. In a geometric progression, the ratio of any two adjacent numbers is the same. An example is 5, 25, 125, 625, ... , where each number is multiplied by 5 to obtain the following number, and the ratio of any number to the next number is always 1 to 5. Compare arithmetic progression. |
In mathematics, a sequence of numbers in which each number is obtained from the previous one by multiplying by a constant. For example, the sequence 1, 2, 4, 8, 16, 32 &ellipsis; (in which each number is multiplied by 2 to get the next one) is a geometric progression.
Note: Many processes involving growth and spreading, such as population increases, can be described as geometric progressions.