The first term of a linear sequence is 5 and the common difference is -3,find the 15th term of the sequence?

The 15th term can be found using the formula for the nth term of a linear sequence:

nth term = first term + (n-1) * common difference

In this case, the first term is 5, the common difference is -3, and we want to find the 15th term:

15th term = 5 + (15-1) * (-3)
15th term = 5 + 14 * (-3)
15th term = 5 + (-42)
15th term = -37

Therefore, the 15th term of the sequence is -37.