Question

The pendulum swings at an arc of 30 cm and its successive swings reduced to 10% of the previous swings. What is the total distance travelled by the pendulum after 5 swings? This problem is an example of what sequence?

Answer 1

`S_g= 33.333cm`

Explanation:

From the question we are told that

Arc of 30 cm

10% reduction after each swing

Generally sum of geometric sequence is given by the equation

`S_g=(a(1-r^n))/(1-r)`

Mathematically solving for total distance traveled we have

`S_g=(30(1-(0.10^5))/(1-(0.10))`

`S_g=(30)/(0.9)`

Therefore the total distance traveled by the pendulum after 5 swings

`S_g= 33.333cm`