Question

ANSWER ASAP!
Tim is playing table tennis with a friend. the ball accidentally falls off the table and each bounce reaches a third of the height of the previous bounce. The ball starts bouncing with a height of 3 feet. Which sequence describes the balls bounce height?
A. 3, 6, 9, 12,...
B. 1, 3, 9, 27,...
C. 1/9, 1/3, 1, 3,...
D. 3, 1, 1/3, 1/9,...

Answer 1

The sequence of the ball is   3, 1, 1/3, 1/9,...

How to find terms of a sequence?

The ball starts bouncing with a height of 3 feet.

Each bounce reaches a third of the height of the previous bounce.

Therefore,

a = first term = 3

r = common ratio = 1 / 3

Therefore,

nth term = arⁿ⁻¹

where

• a = first term
• r  = common ratio
• n = number of terms

First term = 3

2nd term = 3 × (1 / 3) = 1

Third term = 3 × (1 / 3)² = 1 / 3

Fourth term = 3 × (1 / 3)³ = 1 / 9

Therefore, the sequence of the ball is   3, 1, 1/3, 1/9,...

learn more on sequence here: https://brainly.com/question/13042200

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