Mark the correct statement/s about arithmetic growth.

Options

A. In mitosis , only one daughter cell continues to divide while the other differentiates and matures .
B. `L_t=L_0+rt`
C. The simplest expression of this growth is exemplified by a root elongating at a constant rate.
D. All of the above

Answer

To solve the question regarding the correct statements about arithmetic growth, we will analyze each statement provided in the options and determine their validity based on the principles of arithmetic growth.

### Step-by-Step Solution:

1. **Understanding Arithmetic Growth**:
- Arithmetic growth is characterized by a constant rate of increase. This means that the growth occurs in equal increments over time, which can be represented as an arithmetic progression (e.g., 2, 4, 6, 8, 10, 12).

2. **Analyzing the First Statement**:
- The first statement mentions that "in mitosis, only one daughter cell continues to divide while the other differentiates and matures."
- This statement is **true**. In the context of arithmetic growth, particularly in meristematic tissues, one daughter cell remains meristematic (continues to divide), while the other differentiates and matures.

3. **Analyzing the Second Statement**:
- The second statement provides a mathematical expression: "Lt = L0 + Rt," where Lt is the length after time, L0 is the initial length, and Rt is the growth rate.
- This statement is also **true**. This formula accurately represents arithmetic growth, showing how the length changes over time based on a constant growth rate.

4. **Analyzing the Third Statement**:
- The third statement claims that "the simplest expression of this growth is exemplified by root elongated at a constant rate."
- This statement is **true**. Roots typically exhibit arithmetic growth by elongating at a constant rate, which is a classic example of this type of growth.

5. **Conclusion**:
- Since all the statements provided in the options are true regarding arithmetic growth, we conclude that the correct answer is "all of the above."

### Final Answer:
All of the statements about arithmetic growth are correct.

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