(i) `A=P(1+(........)/(100))^(n)`

Options

A. T
B. N
C. R
D. None

Answer

To solve the question \( A = P \left( 1 + \frac{...}{100} \right)^n \), we need to identify what the blank space represents in the context of compound interest.

### Step-by-Step Solution:

1. **Understand the formula**: We start with the formula for compound interest, which is given by:
\[ A = P \left( 1 + \frac{R}{100} \right)^n \]
where:
- \( A \) is the amount after time \( n \),
- \( P \) is the principal amount (initial investment),
- \( R \) is the rate of interest per annum,
- \( n \) is the number of years the money is invested or borrowed.

2. **Identify the components**: In the given formula \( A = P \left( 1 + \frac{...}{100} \right)^n \):
- The blank space represents the rate of interest \( R \).

3. **Fill in the blank**: Therefore, we can fill in the blank with \( R \):
\[ A = P \left( 1 + \frac{R}{100} \right)^n \]

4. **Conclusion**: The complete formula with the filled blank is:
\[ A = P \left( 1 + \frac{R}{100} \right)^n \]

### Final Answer:
The blank should be filled with \( R \) (the rate of interest per annum).

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