Find the average of square of first 5 consecutive natural numbers.

Options

A. 12
B. 10
C. 16
D. 11

Answer

To find the average of the squares of the first 5 consecutive natural numbers, we can follow these steps:

### Step 1: Identify the first 5 consecutive natural numbers
The first 5 consecutive natural numbers are:
1, 2, 3, 4, 5

### Step 2: Calculate the square of each number
Now we will square each of these numbers:
- \(1^2 = 1\)
- \(2^2 = 4\)
- \(3^2 = 9\)
- \(4^2 = 16\)
- \(5^2 = 25\)

### Step 3: Sum the squares
Next, we will sum these squares:
\[ 1 + 4 + 9 + 16 + 25 = 55 \]

### Step 4: Calculate the average
To find the average, we divide the sum of the squares by the number of terms (which is 5):
\[ \text{Average} = \frac{\text{Sum of squares}}{\text{Number of terms}} = \frac{55}{5} = 11 \]

### Final Answer
The average of the squares of the first 5 consecutive natural numbers is **11**.

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