Find the 52nd term. 28, 25, 22, 19, ..

The 52nd term is -125

Step-by-step explanation:

The formula for an arithmetic sequence is

an = a1+d(n-1)

where a1 is the first term and d is the common difference.

a1 = 28

d = 25-28 = -3

Let's check  19-22 = -3  so the common difference is correct

an = 28 - 3(n-1)

We want to find the 52 term  so n = 52

a52 = 28 -3 (52-1)

a52 = 28 -3(51)

a52 = 28 -153

a52 = -125

stops on an even number.