Find the average of first 96 consecutive odd numbers.

Options

A. 96
B. 95
C. 97
D. 1

Answer

To find the average of the first 96 consecutive odd numbers, we can follow these steps:

### Step 1: Understand the sequence of odd numbers
The first few odd numbers are: 1, 3, 5, 7, 9, ..., and so on. The nth odd number can be expressed as:
\[ \text{nth odd number} = 2n - 1 \]

### Step 2: Identify the first 96 odd numbers
The first 96 odd numbers are:
1, 3, 5, ..., up to the 96th odd number. To find the 96th odd number:
\[ \text{96th odd number} = 2 \times 96 - 1 = 192 - 1 = 191 \]

### Step 3: Calculate the average
The average of a set of numbers is given by the formula:
\[ \text{Average} = \frac{\text{Sum of the numbers}}{\text{Total count of numbers}} \]

In this case, we can use a property of odd numbers:
The average of the first n odd numbers is equal to n. Therefore, for the first 96 odd numbers:
\[ \text{Average} = 96 \]

### Conclusion
Thus, the average of the first 96 consecutive odd numbers is:
\[ \text{Average} = 96 \]