Fill in the blanks
1. . In ....a.... growth, both the progeny cells following 19 mitotic cell division retain the ability to divide and continue to do so.
2.In ......b growth, following mitotic cell division, only one daughter cell continues to divide while the other differentiates and matures.
3.Arithmetlc growth is mathemancally expressed as ….c...
4.The exponential growth can be expressed as….d…

Options

A. a - arithmetic , b - geometric , c - `W_1=W_0e^(rt),d-L_t=L_0+rt`
B. a - arithmetic , b - geometric , d - `W_1=W_0e^(rt),c-L_t=L_0+rt`
C. b - arithmetic , a - geometric , c - `W_1=W_0e^(rt),d-L_t=L_0+rt`
D. b - arithmetic , a - geometric , d - `W_1=W_0e^(rt),c-L_t=L_0+rt`

Answer

To solve the fill-in-the-blank question, we will analyze each statement step by step.

### Step-by-Step Solution:

1. **Statement 1:** "In ....a.... growth, both the progeny cells following mitotic cell division retain the ability to divide and continue to do so."
- **Answer:** The type of growth where both progeny cells can continue to divide is called **geometric growth**.
- **Fill in the blank:** a = geometric growth

2. **Statement 2:** "In ......b growth, following mitotic cell division, only one daughter cell continues to divide while the other differentiates and matures."
- **Answer:** The type of growth where one daughter cell continues to divide while the other differentiates is known as **arithmetic growth**.
- **Fill in the blank:** b = arithmetic growth

3. **Statement 3:** "Arithmetic growth is mathematically expressed as ….c..."
- **Answer:** The mathematical expression for arithmetic growth is given by the formula **LT = L0 + RT**, where LT is the length at time T, L0 is the initial length, R is the rate of growth, and T is time.
- **Fill in the blank:** c = LT = L0 + RT

4. **Statement 4:** "The exponential growth can be expressed as….d…"
- **Answer:** The equation for exponential growth is expressed as **W1 = W0 e^(rt)**, where W1 is the weight at time T, W0 is the initial weight, r is the growth rate, and t is time.
- **Fill in the blank:** d = W1 = W0 e^(rt)

### Final Answers:
1. a = geometric growth
2. b = arithmetic growth
3. c = LT = L0 + RT
4. d = W1 = W0 e^(rt)