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4. you drop a ball from a height of 0.5 meter. each curved path has 52% of the height of the previous path.
a. write a rule for the sequence using centimeters. the initial height is given by the term n = 1.
b. what height will the ball be at the top of the third path?
an) - 50 (0.52)* ), 13.52 cm
o a(n) - 0.5 (0.52)*-1, 0.14 cm
a(n) = 50 (52)-1; 135,200 cm
o a(n) = 0.52. (0.5)*-1, 013 cm
305
90%

Part a) The rule of the sequence is

Part b) The height of the ball will be

Step-by-step explanation:

Part a) Write a rule for the sequence using centimeters. The initial height is given by the term n = 1.

we know that

In a Geometric Sequence each term is found by multiplying the previous term by a constant called the common ratio (r)

In this problem we have a geometric sequence

Let

n-----> the number of path

a1 ----> is the initial height

r -----> the common ratio

we have

The rule for the sequence is equal to

substitute

Part b) What height will the ball be at the top of the third path?

For n=3      

substitute in the equation

9987

step-by-step explanation: