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22 May, 19:36

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

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Answers (1)
  1. 22 May, 19:55
    0
    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
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