We have been given that you drop a ball from a window 50 metres above the ground. The ball bounces to 50% of its previous height with each bounce. We are asked to find the total distance traveled by up and down from the time it was dropped from the window until the 25th bounce.

We will use sum of geometric sequence formula to solve our given problem.

$S_n=\frac{a\cdot(1-r^n)}{1-r}$ , where,

a = First term of sequence,

r = Common ratio,

n = Number of terms.

For our given problem $a=50$ , $r=50\%=\frac{50}{100}=0.5$ and $n=25$ .

$S_{25}=\frac{50\cdot(1-(0.5)^{25})}{1-0.5}$

$S_{25}=\frac{50\cdot(1-0.0000000298023224)}{0.5}$

$S_{25}=\frac{50\cdot(0.9999999701976776)}{0.5}$

$S_{25}=100\cdot(0.9999999701976776)$

$S_{25}=99.99999701976776\approx 100$

Therefore, the ball will travel 100 meters and option B is the correct choice.

4 0

3 years ago

What situation can be represented by the expression-3 + 3?

ivanzaharov [21]

Correct, c and e. they are the only ones that make sense

7 0

3 years ago

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5. Amber buys bottles of lemonade and a bag of cookies at the store. She pays a total of $9.50. The bag of cookies cost $3.25. I

Anika [276]

Answer:

each bottle was 1.25

Step-by-step explanation:

subtract 3.25 from 9.50 and then divide that answer by 5 for the 5 bottles of lemonade

3 0

2 years ago

Read 2 more answers

15 x 15 x 15 x 15 = 15E The raised letter E stands for an exponent

Pie

Answer:

15e4

Step-by-step explanation:

I can not raise the exponent but there is 4, 15 being multiplied together and all you do is add how many of the same numbers are being multiplied together.

7 0

2 years ago