You drop a ball from a height of 1.5 meters. Each curved path has 71% of the height of the previous path.
a. Write a rule for the sequence using centimeters. The initial height is given by the term n = 1.
b. What height will the ball be at the top of the sixth path?

a. A(n) = 150 * (0.71)^n-1; 27.06 cm

b.A(n) = 1.5 * (0.71)^n-1 ; 0.27 cm

c.A(n) = 150 * (71)^n-1 ; 270,634,402,650 cm

d.A(n) = 0.71 * (1.5)^n-1 ; 5.39 cm

Question

You drop a ball from a height of 1.5 meters. Each curved path has 71% of the height of the previous path.
a. Write a rule for the sequence using centimeters. The initial height is given by the term n = 1.
b. What height will the ball be at the top of the sixth path? 

a. A(n) = 150 * (0.71)^n-1; 27.06 cm

b.A(n) = 1.5 * (0.71)^n-1 ; 0.27 cm

c.A(n) = 150 * (71)^n-1 ; 270,634,402,650 cm

d.A(n) = 0.71 * (1.5)^n-1 ; 5.39 cm

nurali · Answer

A(n)=150(71/100)^n-1
Convert (1.5m=150cm)
n=6
A(6)=150(71/100)^6-1
A(6)=150(0.71)^5
A(6)=150(0.180)
A(6)=27.06 cm