Answer:
The explicit term is 31-6n
the 52nd term is -281
Step-by-step explanation:
Mathematically, the nth term of an arithmetic sequence is;
Tn = a + (n-1)d
a is first term = 25
d is common difference = 19-25 = 13-19 = 7-13 = -6
So for the explicit formula;
Tn = 25 + (n-1) -6
Tn = 25 -6n + 6 = 31-6n
for the 52nd term;
T52 = 25 + (52-1)-6
= 25 -306 = -281
