Answer:
The explicit formula for any term is;
Tn = 15n - 60
where n represents the term number i.e for example whether is is 10th, 11th , 14th etc
Step-by-step explanation:
Here in this question, we are told to find an explicit formula for the arithmetic sequence.
From the question, the first term a is -45, the common difference d is -30-(-45) = -15-(-30) = 15
Now to find any term at any point in time, we will be needing the explicit formula;
Mathematically; Tn = a + (n-1)d
Substituting for a and d;
Tn = -45 + (n-1)15
Tn =-45 + 15n -15
Tn = 15n -45-15
Tn = 15n -60
