In geometric method, if one meristematic cell divides three times then the number of meristematic cells formed are

Options

A. 8
B. 1
C. 4
D. 2

Answer

To solve the problem of how many meristematic cells are formed when one meristematic cell divides three times using the geometric method, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Division Process**:
- When a single meristematic cell divides, it undergoes mitosis, resulting in two daughter cells. This means that each division doubles the number of cells.

2. **Identify the Number of Divisions**:
- The problem states that the cell divides three times. This means we will have three rounds of division.

3. **Calculate the Number of Cells After Each Division**:
- After the **first division** (1 cell → 2 cells):
- Total cells = 2
- After the **second division** (2 cells → 4 cells):
- Total cells = 4
- After the **third division** (4 cells → 8 cells):
- Total cells = 8

4. **Use the Exponential Growth Formula**:
- The number of cells after n divisions can be calculated using the formula:
\[ \text{Total Cells} = 2^n \]
- Here, \( n = 3 \) (the number of divisions).
- Therefore, substituting the value into the formula:
\[ \text{Total Cells} = 2^3 = 8 \]

5. **Conclusion**:
- After three divisions, the total number of meristematic cells formed is 8.

### Final Answer:
The number of meristematic cells formed after three divisions is **8**.

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