Answer:
f(n) = 37 (0.3)ⁿ⁻¹
Step-by-step explanation:
Given;
f(1) = 37
f(n) = f(n-1). 0.3
find an explicit formula for f(n),
To determine the explicit formula for the given sequence, we consider the first term given (37) and possible way to obtain this value at a given common difference of 0.3.
The first term can be gotten if we simplify the sequence as shown below.
[tex]explicit \ formula \ for \ f(n) = 37(0.3)^{n-1}[/tex]
where;
37 is the first term
n is a natural number
0.3 is the common difference
Therefore, the explicit formula for f(n) = 37 (0.3)ⁿ⁻¹
