The sum of n arithmetic means between a and b, is - Vidyadip

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)$.

Aliter : As we know ${A_1} + {A_2} + ...... + {A_n} = nA$

where $A = \frac{{a + b}}{{2}}$

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