# Geometric Sequence & Applications

Videos and lessons to help High School students learn to choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

A. Factor a quadratic expression to reveal the zeros of the function it defines.

B. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.

C. Use the properties of exponents to transform expressions for exponential functions.For example the expression 1.15can be rewritten as (1.151/12)12t  ≈ 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%

### Suggested Learning Targets

• Use properties of exponents (such as power of a power, product of powers, power of a product, and rational exponents, etc.) to write an equivalent form of an exponential function to reveal and explain specific information about its approximate rate of growth or decay.

Common Core: HSA-SSE.B.3c

Related Topics:
Common Core (Algebra)

Common Core for Mathematics

Geometric Sequences
This video introduces geometric sequences.

Geometric Sequences (Introduction & Application)

A Quick Intro to Geometric Sequences. This video gives the definition of a geometric sequence and go through 4 examples, determining if each qualifies as a geometric sequence or not.

Compounding Interest and other Geometric Sequence Word Problems
Suppose you invest \$1,000 in the bank. You leave the money in for 3 years, eash year getting 5% interest per annum. How much money do you have in the bank after 3 years?

Application of a Geometric Sequence
Bouncing ball application of a geometric sequence
When a ball is dropped onto a flat floor, it bounces to 65% of the height from which it was dropped. If the ball is dropped from 80 cm, find the height of the fifth bounce.

Population Growth and Compound Interest
This video gives examples of population growth and compound interest. Remember these examples are variations on geometric sequence.

Geometric Sequences - Applications
Apply geometric sequences to real life problems.
A car that was originally valued at \$20,000 depreciates at the rate of 20% per year. What is the value of the car after 9 years?

Compound interest, geometric sequences, and exponential growth.

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.