Find the value of the first term in the geometric sequence $a,b,c,32,64$.
To find the value of the first term, I need to know the common ratio of the geometric sequence. For example, the common ratio is $\frac{64}{32}=2$. That means that to get from $c$ to $32$, I also multiply by $2$. So, $c=\frac{32}{2}=16$. Similarly, to get from $b$ to $c$, I multiply by $2$. So, $b=\frac{16}{2}=8$. And finally, to get from $a$ to $b$, I multiply by $2$. So, $a=\frac{8}{2}=4$. Therefore, the value of the first term in the geometric sequence is $4$. 