Arithmetic growth- A type of growth in which parent cell divides into two cells of which one cell matures and the other cell continues to divide(doesnt mature) Ex: lengh of plant.
FORMULA- Lt=lo + rt
*It shows constant increasing curve

Geometric growth- It is a kind of exponential growth of cell in which cells keep on diving. It is divided into three phases
1.lag phase- In whivh growth is slow.
2.log phase-in which growth is exponential/rapid
stationary phase-in which growth rate decreases due to unavailability of nutrients. Ex: weight of fruit
FORMULA- W1= W×e to the power rt
*Imp- it shows sigmoid ie.(S shaped curve)

Geometric Growth Rate vs Arithmetic Growth Rate:

Geometric Growth Rate:
Geometric growth refers to a pattern of growth where the quantity or size of something increases at a constant rate over a period of time. In the context of plant growth and development, the geometric growth rate is a measure of how fast a population of plants increases in size or number over time. It is also known as exponential growth.

Arithmetic Growth Rate:
Arithmetic growth, on the other hand, is a pattern of growth where the quantity or size of something increases by a fixed amount over a period of time. In the context of plant growth and development, arithmetic growth refers to a linear increase in size or number.

Differences between Geometric and Arithmetic Growth Rates:

1. Rate of Increase:
- Geometric Growth Rate: The rate of increase in geometric growth is exponential, meaning it accelerates over time. Each successive period, the growth rate is applied to the increased base from the previous period, resulting in a compounding effect.
- Arithmetic Growth Rate: The rate of increase in arithmetic growth is linear, meaning it remains constant over time. The same fixed amount is added in each successive period.

2. Pattern:
- Geometric Growth Rate: Geometric growth follows a pattern where the quantity or size doubles or multiplies by a fixed factor in each successive period.
- Arithmetic Growth Rate: Arithmetic growth follows a pattern where the quantity or size increases by a fixed amount in each successive period.

3. Shape of the Growth Curve:
- Geometric Growth Rate: The growth curve in geometric growth is characterized by a J-shaped curve. Initially, the growth may be slow, but as the population size increases, the rate of growth becomes rapid.
- Arithmetic Growth Rate: The growth curve in arithmetic growth is characterized by a straight line. The growth rate remains constant, resulting in a linear increase in size or number over time.

4. Examples:
- Geometric Growth Rate: Examples of geometric growth in plant development include the growth of bacterial colonies, the spread of invasive species, and the expansion of human populations.
- Arithmetic Growth Rate: Examples of arithmetic growth in plant development include the growth of stems, leaves, or branches in a plant, where each new unit is added in a linear fashion.

In summary, the geometric growth rate represents exponential growth, with the quantity or size increasing at an accelerating rate, while the arithmetic growth rate represents linear growth, with a constant increase in quantity or size.