Answer:
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
