Answer:
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 <u>Geometric Sequence</u> 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