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Arithmetic Growth and Geometric Growth. - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #NEET

Concepts Covered - 0

Growth Rate, Arithmetic Growth and Geometric Growth
  • The increased growth per unit time is termed as growth rate.
  • It can be expressed mathematically.
  • An organism or a part of the organism can produce more cells in a variety of ways.
  • The growth rate shows an increase that may be arithmetic or geometric.

Arithmetic Growth:

  • In arithmetic growth, following mitotic cell division, only one daughter cell continues to divide while the other differentiates and matures.
  • On plotting the length of the organ against time, a linear curve is obtained.
  • Mathematically, it is expressed as:

  • The linear curve obtained is as follows:

Geometric Growth:

  • In most systems, initial Growth is slow and is referred to as the lag phase.
  • Then, it increases rapidly at an exponential rate referred to as log phase or exponential phase.
  • The growth of plants slows down in cases of limited nutrient supply and results in the stationary phase. 
  • When we plot the growth against time, it results in S-Curve or Sigmoid Curve.

  • The sigmoid curve is the characteristic of living organisms growing in the natural environment and is typical for all cells, tissues and organs. 
  • The exponential growth in expressed as:

  • r is the relative growth rate and is also a measure of the ability of the plant to produce new plant material, referred to as efficiency index. 
  • Hence, the final size of W1 depends on the initial size, W0.

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