These lessons help High School students to express and interpret geometric sequence applications.
Examples, solutions, 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 1.15t can be rewritten as (1.151/12)12t ≈ 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.
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
Geometric Sequences Word Problems
Compounding Interest and other Geometric Sequence Word Problems
Geometric sequence - salary
You land a job as a police officer. Your salary for the first year is $43,125. You will receive 7% increase every year. How much will your salary be at the start of year six?
Solve Word Problems using Geometric Sequences
Wilma bought a house for $170,000. Each year, it increases 2% of its value.
a. Write the equation that represents the house’s value over time.
b. What will the house be worth in 10 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.
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