A super ball is dropped from a height of 8ft. Each time is strikes the ground af

Question

A super ball is dropped from a height of 8ft. Each time is strikes the ground after falling
from a height of t feet it rebounds (3/4)t feet.

A)List as a sequence the distance traveled in the first three rebound bounces.

a1 = ______________ distance traveled after hitting the ground the 1st time until it hits the 2nd time.

a2 = _____________________________ leave in product/fractional form

                   distance traveled after hitting the ground the 2nd time until it hits the 3rd time.

a3 = _____________________________ leave in product/fractional form

                   distance traveled after hitting the ground the 3rd time until it hits the 4th time.

B.       Write a formula for the nth term an of this sequence.

C.       Use the result from part B and write the corresponding series using proper notation.

D.     Use the result from part C and calculate the total distance traveled by the ball. Don’t     forget to include the distance from the initial drop.

Explanation / Answer

8*3/4*2, 8*(3/4)^2*2, 8*(3/4)^3*2 (the 2 is goes up that high too so double) 8*(3/4)^n*2 not sure what notation you want to use. D. It's a summation for a geometric series: a/(1-r) so 16*(3/4)/(1-.75)=48

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