United University

Algebra Grade 9. Number sequences. Collection 1

Course Difficulty Icon Intermediate
Course Type Icon Course
Course Duration Icon 11 hours

Embark on an exciting journey through algebra! Our "Algebra Grade 9. Number sequences" course offers a dynamic learning experience that brings numerical sequences to life. Through interactive lessons, quizzes, and engaging activities, students will explore arithmetic and geometric progressions, their properties, and real-world applications.

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Embark on an exciting journey through algebra! Our "Algebra Grade 9. Number sequences" course offers a dynamic learning experience that brings numerical sequences to life. Through interactive lessons, quizzes, and engaging activities, students will explore arithmetic and geometric progressions, their properties, and real-world applications.

Why choose our course:

  • Interactive quizzes and tests: Test your knowledge and reinforce learning with engaging and challenging quizzes.
  • Expertly crafted content: Developed by experienced educators to ensure high-quality and effective learning.
  • Focus on mathematical modeling: Encourage students to apply number sequences to solve real-life problems.

Course Module

Module 1: Number sequences

  • Lesson 15: Number sequences
  • Practice exercises
  • Lesson 16: Arithmetic progression, its properties. Formula for the n-th term of an arithmetic progression
  • Practice exercises
  • Practice exercises
  • Lesson 17: Sum of the first n terms of an arithmetic progression
  • Practice exercises
  • Practice exercises
  • Lesson 18: Geometric progression. Its properties. Formula for the n-th term of a geometric progression
  • Practice exercises
  • Practice exercises
  • Lesson 19: Sum of the first n terms of a geometric progression
  • Practice exercises
  • Practice exercises
  • Independent Homework №4
  • Review tasks for Sections 15-20
  • Exercises for Section 3 revision
  • Key takeaways from Section 3

Expected Learning Outcomes

  • Identifies examples of numerical sequences, arithmetic, and geometric progressions.
  • Recognizes different methods of defining a numerical sequence.
  • Distinguishes arithmetic and geometric progressions among other numerical sequences.
  • Formulates definitions and properties of arithmetic and geometric progressions.
  • Understands the principles of forming arithmetic and geometric progressions.
  • Explains and applies formulas for the n-th term and sum of the first n terms of arithmetic and geometric progressions.
  • Computes terms of progressions and determines unknown elements using progression formulas.
  • Solves real-world problems involving arithmetic and geometric progressions, including financial calculations like compound interest.
  • Converts periodic decimal fractions into regular fractions.
  • Models and solves text-based problems using numerical sequences.

By the end of this course, students will have a thorough understanding of numerical sequences, their properties, and practical applications in mathematics and real life.

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