What is the height the ball rebounds to after its third bounce? Round your answer to three decimal places.

a1 = 10

formula = an = 0.85an-1

6.141

Step-by-step explanation:

aₙ = a₁rⁿ⁻¹

The height after the first bounce is the second term in the geometric sequence, so the height after the third bounce is the fourth term.

a₄ = a₁ (0.85) ⁿ⁻¹

a₄ = 10 (0.85) ³ = 10 * 0.614 12 = 6.141