Aptitude Question ID : 92864
The next term of the sequence $latex \frac{1}{2}, 3\frac{1}{4}, 6, 8\frac{3}{4}, …&s=1$ is :
[A]$latex 10\frac{3}{4}&s=1$
[B]$latex 11\frac{1}{2}&s=1$
[C]$latex 10\frac{1}{4}&s=1$
[D]$latex 11\frac{1}{4}&s=1$
$latex \mathbf{11\frac{1}{2}}&s=1$
Given sequence,
$latex \frac{1}{2}, 3\frac{1}{4}, 6, 8\frac{3}{4}, …&s=1$
$latex = 0.5\xrightarrow{+2.75}3.25\xrightarrow{+2.75}6\xrightarrow{+2.75}8.75\xrightarrow{+2.75}\underline{11.5}&s=1$
∴ Next term of the sequence = 8.75 + 2.75 = 11.5 $latex = 11\frac{1}{2}&s=1$
Hence option [B] is the right answer.