Given a term and the common difference, find the explicit formula.
8. a(19) = 135
d = 15

The explicit formula is a(n) = 15(n – 10)

Solution:

Given, a term a(19) = 135 and common difference d = 15

We have to find the explicit formula.

Now, we know that, a(n) = a + (n – 1)d where a(n) is nth term, a is first term, d is common difference,

So, for a(19)  

Now, we know that, an explicit formula is an expression for finding the nth term,  

So, in our problem, expression for finding nth term is a + (n – 1)d  

Hence, the explicit formula is a(n) = 15(n – 10).

arithmetic sequence: a sequnce in which the diffrence between any two consecutive terms is the same

step-by-step explanation: