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  2. Exponential growth - Wikipedia

    Exponential growth is a process that increases quantity over time. It occurs when the instantaneous rate of change (that is, the derivative) of a quantity with respect to time is proportional to the quantity itself.

  3. Wheat and chessboard problem - Wikipedia

    The exercise of working through this problem may be used to explain and demonstrate exponents and the quick growth of exponential and geometric sequences. It can also be used to illustrate sigma notation. When expressed as exponents, the geometric series is: 2 0 + 2 1 + 2 2 + 2 3 + ... and so forth, up to 2 63. The base of each exponentiation ...

  4. Doubling time - Wikipedia

    The doubling time is a characteristic unit (a natural unit of scale) for the exponential growth equation, and its converse for exponential decay is the half-life. For example, given Canada's net population growth of 0.9% in the year 2006, dividing 70 by 0.9 gives an approximate doubling time of 78 years.

  5. Relative growth rate - Wikipedia

    Relative growth rate (RGR) is growth rate relative to size - that is, a rate of growth per unit time, as a proportion of its size at that moment in time. It is also called the exponential growth rate, or the continuous growth rate.

  6. Exponential function - Wikipedia

    Exponential function. exp ⁡ z = ∑ n = 0 ∞ z n n ! {\displaystyle \exp z=\sum _ {n=0}^ {\infty } {\frac {z^ {n}} {n!}}} The exponential function is a mathematical function denoted by or (where the argument x is written as an exponent ). Unless otherwise specified, the term generally refers to the positive-valued function of a real variable ...

  7. Geometric progression - Wikipedia

    greater than 1, there will be exponential growth towards positive or negative infinity (depending on the sign of the initial term). 1, the progression is a constant sequence. between −1 and 1 but not zero, there will be exponential decay towards zero (→ 0). −1, the absolute value of each term in the sequence is constant and terms ...