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


Given:
Radius of the base of the cone = 12 in.
The slant height of the cone = 15 in.
To find:
The lateral surface area of the given cone.
Solution:
The lateral surface area of the cone is:

Where, r is the radius of the base of the cone and h is the slant height of the cone.
Putting
, we get


The lateral surface area of the cone is 180π in ² and the missing value for the blank is 180.
The correct answer is A. 9/12 times 48.
Answer:
It equals 420.
Step-by-step explanation: