MCQ
The sum of $n$ arithmetic means between $a$ and $b$, is
- ✓$\frac{{n(a + b)}}{2}$
- B$n(a + b)$
- C$\frac{{(n + 1)(a + b)}}{2}$
- D$(n + 1)(a + b)$
✓
Answer
Correct option: A.
$\frac{{n(a + b)}}{2}$
a
(a) The sum of $n$ arithmetic mean between $a$ and $b$ $ = \frac{n}{2}(a + b)$.
(a) The sum of $n$ arithmetic mean between $a$ and $b$ $ = \frac{n}{2}(a + b)$.
Aliter : As we know ${A_1} + {A_2} + ...... + {A_n} = nA$
where $A = \frac{{a + b}}{{2}}$
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