a ball is dropped from a height of 160 cm .the ball loses 25% of its previous height after each bounce . the graph models the hight of the ball

Question

a ball is dropped from a height of 160 cm .the ball loses 25% of its previous height after each bounce . the graph models the hight of the ball

Answer 1

GP

a1 = 160

r = .75 = 3/4 = common ratio

an = height on nth bounce

a1 = 160

a2 = 120

a3 = 90

a4 = .75(90)

etc

an = a1(r^(n-1)))= 160(.75^(n-1)) = height on nth bounce