Geometric Progression (G.P)

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Subject: Mathematics

Semester: 1

Period: 2

Week: 10

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WEEK 10

Class: Grade 11
Age: 16 years
Duration: 40 minutes per period
Subject: Mathematics

SPECIFIC OBJECTIVES:

By the end of the lesson, students should be able to:

1. Define and understand the concept of a geometric progression (G.P.).
2. Identify and use the first term (a), common ratio (r), and nth term of a G.P.
3. Calculate the nth term of a G.P. using the formula.
4. Understand and calculate the geometric mean of a G.P.
5. Determine the sum of the terms of a G.P.
6. Calculate the sum of an infinite G.P.
7. Solve practical problems involving real-life situations on G.P.

 

INSTRUCTIONAL TECHNIQUES:

• Explanation and demonstration
• Question and answer
• Group discussion
• Guided practice
• Real-life examples and analogies

 

INSTRUCTIONAL MATERIALS:

 

       5. Apply the sum formula to calculate the total amount of a loan after 5 years with an interest rate of 10% compounded annually.

ASSIGNMENT (5 tasks):

1. Calculate the sum of the infinite series for a=4, r = 0.5.
2. Solve for the sum of an infinite G.P. where a=20, r = 0.6.
3. How much will an investment of $100 grow if the interest rate is 8% per annum, compounded continuously?
4. What is the total value of an investment with an interest rate of 6%, compounded annually for 3 years?
5. Calculate the sum of the infinite series 10, 5, 2.5, 1.25, ...