Question

Find an explicit formula for the arithmetic sequence -45,-30,-15,0,...−45,−30,−15,0,...Minus, 45, comma, minus, 30, comma, minus, 15, comma, 0, comma, point, point, point. c(n)=

Answer 1

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