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

Mathematics

Mckinney

27 May, 00:42

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

+3

Answers (1)

Know the Answer?

Jaylah Stokes · Answer 1

The general form for a geometric series is:

an = a1 r^ (n-1)

with a1 as 1.5

and r = 0.71

So,

a.

The rule for sequence is:

an = 1.5 (0.71) ^ (n - 1)

b.

After the sixth path, the height of the ball at the top is

a6 = 1.5 (0.71) ^ (6 - 1)

a6 = 0.27 m