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8. sequence and series — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHS8. sequence and series1 Mark
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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