Arithmetic growth means

Options

A. out of two cells formed in each mitotic division only one cell continues to divide.
B. out of two cells formed from one cell, two cells show continuous division.
C. none of the cells divide and add new cells.
D. out of two cells formed both lose dividing ability.

Answer

### Step-by-Step Solution

1. **Definition of Arithmetic Growth**: Arithmetic growth refers to a type of growth where a population increases by a constant number over a specific period. This means that the growth does not happen exponentially but rather adds a fixed amount at each time interval.

2. **Understanding Cell Division**: In the context of cell division, during mitosis, one cell divides into two. However, in arithmetic growth, not all cells continue to divide. For instance, out of the two cells formed after a mitotic division, only one cell may continue to divide while the other may stop dividing.

3. **Formula for Arithmetic Growth**: The formula for calculating arithmetic growth is given by:
\[ L_t = L_0 + rt \]
Where:
- \( L_t \) = length of the organ or population at time \( t \)
- \( L_0 \) = initial length or population at time 0
- \( r \) = growth rate (the constant number added per unit time)
- \( t \) = time

4. **Example of Cell Division in Arithmetic Growth**: If we start with one cell, it divides into two cells. If one of these cells continues to divide while the other does not, the growth is arithmetic. This means that the total number of cells increases by a constant number (in this case, one cell) rather than doubling each time.

5. **Conclusion**: Therefore, arithmetic growth in the context of cell division means that while cells are produced, not all of them contribute to further growth. The correct statement regarding cell division in arithmetic growth is: "Out of two cells formed in each mitotic division, only one cell continues to divide."