Suppose you drop a tennis ball from a height of 9 feet. after the ball hits the floor, it rebounds to 80% of its previous height. how high will the ball rebound after its third bounce? round to the nearest tenth.

a) 5.8 feet
b) 1 feet
c) 4.6 feet
d) 7.2 feet

Option C is correct

4.6 feet high will the ball rebound after its third bounce

Step-by-step explanation:

Using the Explicit sequence formula is given by:

where,

a is the initial value

r is the common ratio.

As per the statement:

Suppose you drop a tennis ball from a height of 9 feet.

⇒a = 9 feet

It is also given that:

After the ball hits the floor, it rebounds to 80% of its previous height.

⇒

then;

An explicit sequence is,

....[1] where, n is the number of times bounce ball.

We have to find how high will the ball rebound after its third bounce

Substitute n = 3 in [1] we have;

ft

Therefore, 4.6 feet high will the ball rebound after its third bounce

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step-by-step explanation: