Question

If(1) = 37
(f(n) = f(n-1). 0.3
Find an explicit formula for f(n).​

Answer 1

f(n) = 37 (0.3)ⁿ⁻¹

Explanation:

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Answer 2

f(n) = 37 (0.3)ⁿ⁻¹

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.

`explicit \ formula \ for \ f(n) = 37(0.3)^(n-1)`

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