Lesson 1

• What is the main topic of Lesson 1?

  Sequence and Series
• What are the key learning objectives of Lesson 1?

  • Generate patterns
  • Define sequence
  • Classify sequences
  • Find the nth term of a sequence
  • List the terms of the sequence properly
  • Inculcate the virtue of chronology
• What is a sequence?

  A set of related events, movements, or things that follow each other in a particular order.
• What are the numbers in a sequence called?

  Terms
• What is a number sequence?

  • A list of patterned numbers
  • Has a first number, second number, third number, etc.
  • Each number is called a term of the sequence
• What are the classifications of sequences?

  • Finite Sequence
  • Infinite Sequence
• What is a finite sequence?

  A sequence having a finite number of terms with a first term and a last term.
• Provide examples of finite sequences.


  1. 6, 9, 12, 15, 18
  2. 11, 9, 7, 5, 3, 1
  3. 5, 10, 15,..., 50
  4. Set of whole numbers less than 8: W = {0, 1, 2, 3, 4, 5, 6, 7}
  5. Set of natural numbers between -5 and 5: C = {1, 2, 3, 4}
• What is an infinite sequence?


  A sequence having an infinite number of terms with only a first term and no last term.
• Provide examples of infinite sequences.


  1. 2, 10, 18, 26, …
  2. -4, -3, -2, -1, 0, 1, …
  3. 1, 4, 16, 64, …
  4. Set of positive integers: P = {1, 2, 3, …}
  5. Set of composite numbers from 10: C = {10, 12, 15, …}
• How can the terms of a sequence be denoted?

  By using subscripts, such as a1, a2, a3, etc.
• What are the first six terms of the sequence 0, 1, 3, 6, 10, 15?

  • a1 = 0
  • a2 = 1
  • a3 = 3
  • a4 = 6
  • a5 = 10
  • a6 = 15
• How do you find the next two terms of the sequence 4, 7, 10, 13?

  • The pattern increases by 3.
  • Next terms: 16, 19
• How do you find the next two terms of the sequence 7, 14, 28?

  • The pattern doubles each term.
  • Next terms: 56, 112
• How do you find the next two terms of the sequence 15, 7, -1, -9?

  • The pattern decreases by 8.
  • Next terms: -17, -25