Write a method in Java to solve the Syracuse Sequence using recursion. A Syracuse Sequence is a sequence that begins with a number n$0$ and each element ni of the sequence is ni$-1/2$ if is ni$-1$ even and $3*$ni$-1+1$ otherwise. You can write the method in a $.$docx file $($no source code required$).$ Also write the base, and induction clause. Draw the Activation Record $($AR$)$ diagram for the first four elements of the series when it starts with $7($the value of n$0).$