Find the nth term of a sequence.       -5, -8, -11, -14, -17

The given sequence is a linear sequence, which means it increases or decreases at a constant rate. In this case, the sequence is decreasing by 3 each time.

The nth term of a linear sequence can be found using the formula:

nth term = a + (n - 1)d

where:

• a is the first term in the sequence
• d is the common difference between the terms
• n is the position of the term in the sequence

For this sequence, a = -5 (the first term) and d = -3 (the difference between the terms).

Substituting these values into the formula gives:

nth term = -5 + (n - 1)(-3)

Simplifying this gives:

nth term = -5 - 3n + 3

Finally, simplifying further gives:

nth term = -2 - 3n

So, the nth term of the sequence -5, -8, -11, -14, -17 is -2 - 3n.