A pendulum swings 80 cm on its first swing, 76 cm on its second swing, 72.2 cm on its third swing, and 68.59 cm on its fourth swing. Complete parts a and b below.

a. If the pattern continues, what explicit formula can be used find the distance of the nth swing?

Step-by-step explanation:

Geometric sequences:

The nth term of a geometric sequence is given by the following equation.

In which r is the common ratio.

This can be expanded for the nth term in the following way:

In which is the first term.

In this question:

a. If the pattern continues, what explicit formula can be used find the distance of the nth swing?

1 + (6 / x - 1)

step-by-step explanation:

divide using polynomial division.