The explicit formula for a sequence is

an=12-5 (n-1)

What is the 30th term of the sequence?

Step-by-step explanation:

hello:

the nth term of an arithmetic sequence is:

an = a1 + (n-1) d ... a common difference is : d and the first term is a1

in this exercice : an=12-5 (n-1) a1 = 12 and d = - 5

a30 = 12-5 (30-1) = 12-5*29 = 12-145 = - 133