a pendulum swings through an arc that has a distance of 20 inches. the length of the arc on each successive swing is 95 percent of the previous swing. after ten additional swings, what is the total distance through which the pendulum has swung? round the final answer to the nearest inch.

Question

anonymous · Answer

You have a geometric sequence.

anonymous · Answer

$$
a_n = a_1 r^{n-1}
$$Where $a_1=20$ (distance of first swing), $r=0.95$ (factor of change), and $a_n$ represents the distance of the $n$th swing.