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

Answer:

$S_g= 33.333cm$

Step-by-step 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

    $S_g=\frac{a(1-r^n)}{1-r}$

Mathematically solving for total distance traveled we have

    $S_g=\frac{30(1-(0.10^5)}{1-(0.10)}$

    $S_g=\frac{30}{0.9}$

Therefore the total distance traveled  by the pendulum after 5 swings

    $S_g= 33.333cm$