Find the sum of a finite geometric series. a ball is dropped from a height of 10 meters. each time it bounces, it reaches 50 percent of its previous height. the total vertical distance down the ball has traveled when it hits the ground the fifth time is meters?

The total vertical distance down the ball has traveled when it hits the ground the fifth time is 19.375 meters

Step-by-step explanation:

We are given

A ball is dropped from a height of 10 meters

So, first term is 10

Each time it bounces, it reaches 50 percent of its previous height

so,

n=5

now, we can use summation formula

now, we can plug values

So,

The total vertical distance down the ball has traveled when it hits the ground the fifth time is 19.375 meters

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

1,589.63 in.^3

step-by-step explanation:

i hope this you : d