Lesson: Applications of Geometric Sequences and Series Mathematics • 10th Grade
In this lesson, we will learn how to solve real-world applications of geometric sequences and series, where we will find the common ratio, the nth term explicit formula, the order and value of a specific sequence term, and the sum of a given number of terms.
After falling, a rubber ball bounces back to of its previous height. Given that the ball fell from a height of 653 cm above the ground, find, to the nearest integer, the height it would reach after its second bounce.
A man sent a message to two of his friends, and each of them then sent the same message to another two friends and so on. Find the number of people who got the message the sixth time it was sent given that each person received the message only once.
Mason saves every month in an account that pays an annual interest rate of compounded monthly.
How much will be in Mason’s account after 4 years of regular saving? Give your answer to the nearest cent.
If the interest was compounded quarterly, how much would be in the account after 4 years?