What will come in place of question mark in the following series?
\(\frac{1}{2},\;1,\;1\frac{1}{2},\;2,\;2\frac{1}{2},\;3,\;?\)
The given series is,
$(\begin{array}{l} \to \frac{1}{2},\\ \to 1 = \frac{1}{2}\; + \frac{1}{2},\\ \to 1\frac{1}{2}\; = \;1\; + \frac{1}{2},\\ \to 2 = 1\frac{1}{2} + \frac{1}{2},\;\\ \to 2\frac{1}{2} = 2 + \frac{1}{2},\\ \to 3 = 2\frac{1}{2} + \frac{1}{2},\\ \to {\rm{\;}}? = 3 + \frac{1}{2} = 3\frac{1}{2} \end{array})$