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16. Physical Science A ball is dropped from a
height of 500 meters. The table shows the height
of each bounce, and the heights form a geometric
sequence. How high does the ball bounce on the
8th bounce? Round your answer to the nearest
tenth of a meter.

16 Physical Science A ball is dropped from a height of 500 meters The table shows the height of each bounce and the heights form a geometric sequence How high d class=

Respuesta :

Ball will bounce 83.9 meters high on the 8th bounce.

Geometric sequence:

  • nth term of a geometric sequence is given by the expression,

        [tex]T_n=ar^{n-1}[/tex]

        Here, [tex]a=[/tex] First term

         [tex]r=[/tex] Common ratio in each term

         [tex]n=[/tex] Number of term

    From the table attached,

  •   First term [tex]a=400[/tex] meters
  •   Common ratio [tex]r=\frac{\text{Second term}}{\text{First term}}[/tex]

                                       [tex]=\frac{320}{400}[/tex]

                                       [tex]=0.8[/tex]

           8th term of the sequence will be,

           [tex]T_8=400(0.8)^{8-1}[/tex]

           [tex]T_8=83.886[/tex]

                [tex]\approx 83.9[/tex] meters

Find out more information about geometric sequence here;

https://brainly.com/question/11266123?referrer=searchResults

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