# Aptitude Question ID : 92864

The next term of the sequence $\frac{1}{2}, 3\frac{1}{4}, 6, 8\frac{3}{4}, ...$ is :
[A]$10\frac{3}{4}$
[B]$11\frac{1}{2}$
[C]$10\frac{1}{4}$
[D]$11\frac{1}{4}$

$\mathbf{11\frac{1}{2}}$
Given sequence,
$\frac{1}{2}, 3\frac{1}{4}, 6, 8\frac{3}{4}, ...$
$= 0.5\xrightarrow{+2.75}3.25\xrightarrow{+2.75}6\xrightarrow{+2.75}8.75\xrightarrow{+2.75}\underline{11.5}$
∴ Next term of the sequence = 8.75 + 2.75 = 11.5 $= 11\frac{1}{2}$
Hence option [B] is the right answer.