What is the nth term rule of the linear sequence below 13 7 1 and minus 5 and minus 11 . . .?

The given linear sequence is 13, 7, 1, -5, -11, which has a common difference of -6. To find the nth term rule, we can use the formula for the nth term of an arithmetic sequence: ( a_n = a + (n-1)d ), where ( a ) is the first term and ( d ) is the common difference. Here, ( a = 13 ) and ( d = -6 ), so the nth term can be expressed as ( a_n = 13 + (n-1)(-6) ). Simplifying this gives ( a_n = 19 - 6n ).