A monkey is swinging from a tree. On the first swing, she passes through an arc whose length is 24 m 24 m24, start text, space, m, end text. With each swing, she travels along an arc that is half as long as the arc of the previous swing.

Step-by-step explanation:

Complete Question:

A monkey is swinging from a tree. On the first swing, she passes through an arc whose length is 24 m. With each swing, she travels along an arc that is half as long as the arc of the previous swing. Which expression gives the total length the monkey swings in her first n swings?

Solution:

First Swing:

24 m

Second Swing:

Half of first, so

24(1/2)

Third Swing:

Half of second, so:

24(1/2)(1/2)

Fourth Swing:

24(1/2)(1/2)(1/2)

So we see the general formula as:

Note: n -1 because (1/2) plays a role from second swing, which is n - 1

where n is the number of swings

answer: he is 272195

step-by-step explanation: all you have to do is multiple 3535 and 77 and it equals 272195