Answer: An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. We can call this constant difference "d".
In this sequence, we can see that the difference between consecutive terms is -6x - 5.
The 9th term of an arithmetic sequence can be found by using the formula:
a_n = a_1 + (n-1)d
Where a_n is the nth term of the sequence, a_1 is the first term of the sequence and d is the common difference.
Given the sequence -5x + 2, -11x - 3, -17x -8, ...
The 9th term is:
-5x + 2 + (9-1) (-6x-5) = -5x + 2 - 48x - 40 = -53x -38
Therefore the 9th term of the arithmetic sequence is -53x -38.
Explanation: