Find an explicit formula for the sequence 30\,,\,150\,,\,750\,,\,3750,...30,150,750,3750,...30, space, comma, space, 150, space, comma, space, 750, space, comma, space, 3750, comma, point, point, point.
The series shown is an geometric series and the explicit formula is given by: an=ar^(n-1) where a=first term n=number of terms r=common ratio from the sequence: a=30 r=5 thus the explicit formula will be: an=30(5)^(n-1) hence the answer is: an=30(5)^(n-1)