What will be the average of the first 5 positive even numbers divisible by 9?

Options

A. 50
B. 54
C. 48
D. 62

Explanation

To find the average of the first 5 positive even numbers divisible by 9, we can follow these steps:

### Step 1: Identify the first 5 positive even numbers divisible by 9.
The positive even numbers divisible by 9 can be found by multiplying 9 by even numbers. The first 5 even numbers are 2, 4, 6, 8, and 10. Therefore, we calculate:
- 9 × 2 = 18
- 9 × 4 = 36
- 9 × 6 = 54
- 9 × 8 = 72
- 9 × 10 = 90

So, the first 5 positive even numbers divisible by 9 are: **18, 36, 54, 72, and 90.**

### Step 2: Calculate the sum of these numbers.
Now, we need to find the sum of these numbers:
\[ 18 + 36 + 54 + 72 + 90 \]

Calculating the sum step-by-step:
- 18 + 36 = 54
- 54 + 54 = 108
- 108 + 72 = 180
- 180 + 90 = 270

Thus, the sum of the first 5 positive even numbers divisible by 9 is **270.**

### Step 3: Calculate the average.
To find the average, we divide the sum by the number of terms (which is 5):
\[ \text{Average} = \frac{\text{Sum}}{\text{Number of terms}} = \frac{270}{5} \]

Calculating the average:
\[ \frac{270}{5} = 54 \]

Thus, the average of the first 5 positive even numbers divisible by 9 is **54.**

### Final Answer:
The average of the first 5 positive even numbers divisible by 9 is **54.**

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