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