Question

Assertion (A) : The mean of first 'n' natural numbers is \( \frac{n - 1}{2} \).
Reason (R) : The sum of first 'n' natural numbers is \( \frac{n(n + 1)}{2} \).

Hint:

The mean of an A.P. is simply the average of the first and last terms: \( (1 + n)/2 \).

Answer 1

Step 1: Understanding the Concept:
Mean = Sum / Count.
Step 2: Detailed Explanation:
Sum = \( \frac{n(n+1)}{2} \). (Reason R is True).
Mean = \( \frac{n(n+1)}{2} \times \frac{1}{n} = \frac{n+1}{2} \).
Assertion A says \( \frac{n-1}{2} \). (Assertion A is False).
Step 3: Final Answer:
(A) is false, (R) is true.