(b) A ball is dropped from a height 30m above the ground and rebounds to ¾ of previous height continuously until it stops. Find the distance that the ball bounces when it hits the ground the 10 th time. ( Ans to 2 d. p).

2.253m

Step-by-step explanation:

I used geometric sequence to find it. 30(3/4)^9 is what I used. Double check by solving that on your own if the answer is important ;)

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

ummm seems that u didnt post the attachement !