Find average of natural numbers from 1 to 65?

Options

A. a. 33
B. b. 32.5
C. c. 130
D. d. 65

Answer

To find the average of natural numbers from 1 to 65, we can follow these steps:

### Step 1: Identify the first and last terms
The first term (a) is 1 and the last term (l) is 65.

### Step 2: Use the average formula for a series
The formula to find the average of a series of numbers is given by:
\[ \text{Average} = \frac{\text{First term} + \text{Last term}}{2} \]

### Step 3: Substitute the values into the formula
Substituting the first and last terms into the formula:
\[ \text{Average} = \frac{1 + 65}{2} \]

### Step 4: Calculate the sum of the first and last terms
Calculating the sum:
\[ 1 + 65 = 66 \]

### Step 5: Divide by 2 to find the average
Now, divide the sum by 2:
\[ \text{Average} = \frac{66}{2} = 33 \]

### Final Answer
The average of natural numbers from 1 to 65 is **33**.

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