Question

{d(1) = 2.7 d(n) = d(n-1) x (6.1) find the explicit formula for d(n) d(n) = ?

Answer 1

The explicit formula of the function d(n) is $d(n) = 2.7 * 6.1^{n-1$

How to determine the explicit formula?

The function is given as:

d(1) = 2.7

d(n) = d(n-1) x (6.1)

The above means that the function is an exponential function, and it has the following parameters:

First term, d(1) = 2.7

Common ratio, r = 6.1

The explicit formula of an exponential function is:

$d(n) = d(1) * r^{n-1$

So, we have

$d(n) = 2.7 * 6.1^{n-1$

Hence, the explicit formula of d(n) is $d(n) = 2.7 * 6.1^{n-1$

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