Question 71
If the number $3\nu + 1$, where $\nu$ is integer, is a multiple of $7$, find the possible remainders of the following divisions:
(a) of $\nu$ with divisor $7$,
(b) of $\nu^m$ with divisor $7$, for all values of the positive integer $m$, $m \ge 2$.
(a) of $\nu$ with divisor $7$,
(b) of $\nu^m$ with divisor $7$, for all values of the positive integer $m$, $m \ge 2$.