The average of the first 10 multiples of 5 is:

Options

A. `32.5 `
B. `2. 30 `
C. `27.5 `
D. `40 `

Answer

To find the average of the first 10 multiples of 5, we can follow these steps:

### Step 1: Identify the first 10 multiples of 5
The first 10 multiples of 5 are:
- 5 × 1 = 5
- 5 × 2 = 10
- 5 × 3 = 15
- 5 × 4 = 20
- 5 × 5 = 25
- 5 × 6 = 30
- 5 × 7 = 35
- 5 × 8 = 40
- 5 × 9 = 45
- 5 × 10 = 50

So, the first 10 multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50.

### Step 2: Calculate the sum of these multiples
Now, we need to sum these multiples:
\[ 5 + 10 + 15 + 20 + 25 + 30 + 35 + 40 + 45 + 50 \]

Calculating the sum:
- \( 5 + 10 = 15 \)
- \( 15 + 15 = 30 \)
- \( 30 + 20 = 50 \)
- \( 50 + 25 = 75 \)
- \( 75 + 30 = 105 \)
- \( 105 + 35 = 140 \)
- \( 140 + 40 = 180 \)
- \( 180 + 45 = 225 \)
- \( 225 + 50 = 275 \)

So, the total sum is \( 275 \).

### Step 3: Calculate the average
To find the average, we divide the sum by the number of multiples:
\[ \text{Average} = \frac{\text{Sum}}{\text{Number of multiples}} = \frac{275}{10} \]

Calculating the average:
\[ \frac{275}{10} = 27.5 \]

### Conclusion
The average of the first 10 multiples of 5 is **27.5**.

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