Question

A person is given one push on a tire swing and then allowed to swing freely. On the first swing the person travels a distance of 14 feet. On each successive swing, the person travels 80% of the distance of the previous swing. What is the total distance the person swings?

Answer 1

sounds like sum of infinite geometric sequence

Answer 2

what does that mean

Answer 3

isnt that your lesson?

Answer 4

yes

Answer 5

so what do you mean "what does that mean"

Answer 6

sum of infinite geometric sequence

Answer 7

how do i get the distance the person swung

Answer 8

start adding \(14+14\times .8+14\times .8^2+14\times .8^3+...\)

Answer 9

or write
\[14\times (1+.8+.8^2+.8^3+.8^4+...)\]
\[14\times \sum_{k=0}^{\infty}.8^k\]

Answer 10

you know how to compute this?