MCQ
The arithmetic mean of $\{1, 2, 3, 4, ……………….., n\}$ is :
- A$\frac{\text{n}}{2}$
- B$\frac{\text{n}\text{(n+1)}}{2}$
- ✓$\frac{\text{n}+1}{2}$
- D$\frac{\text{n}-1}{2}$
✓
Answer
Correct option: C.
$\frac{\text{n}+1}{2}$
According to questions,
Arithmatic Mean $=\frac{1+2+3+....+\text{n}}{\text{n}}$
$=\frac{\frac{\text{n}\text{(n+1)}}{2}}{2}$
$=\frac{\text{n+1}}{2}$
Arithmatic Mean $=\frac{1+2+3+....+\text{n}}{\text{n}}$
$=\frac{\frac{\text{n}\text{(n+1)}}{2}}{2}$
$=\frac{\text{n+1}}{2}$
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