$h$ is an exponential function of the form $h(n)=a\cdot r^n$ $(r>0)$. The table below lists a few values of $h$.
**What is the initial value $a$ of the function $h\ $**?
$a=$ [[☃ math-keypad 1]]
$n$ | $h(n)$
- | - | -
$1$| $-\dfrac{1}{12}$
$2$ | $-\dfrac{1}{4}$
$3$ | $-\dfrac{3}{4}$