Learn on PengienVision, Mathematics, Grade 4Chapter 14: Algebra: Generate and Analyze Patterns

Lesson 1: Number Sequences

Property.

Section 1

Finding the Rule of an Arithmetic Sequence

Property

To find the rule for a simple number sequence, calculate the difference between any two consecutive terms. If the sequence is a1,a2,a3,a_1, a_2, a_3, \dots, the rule is to add the common difference, d=a2a1d = a_2 - a_1, to each term to find the next one.

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Chapter 14: Algebra: Generate and Analyze Patterns

  1. Lesson 1Current

    Lesson 1: Number Sequences

  2. Lesson 2

    Lesson 2: Patterns: Number Rules

  3. Lesson 3

    Lesson 3: Patterns: Repeating Shapes

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Finding the Rule of an Arithmetic Sequence

Property

To find the rule for a simple number sequence, calculate the difference between any two consecutive terms. If the sequence is a1,a2,a3,a_1, a_2, a_3, \dots, the rule is to add the common difference, d=a2a1d = a_2 - a_1, to each term to find the next one.

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 14: Algebra: Generate and Analyze Patterns

  1. Lesson 1Current

    Lesson 1: Number Sequences

  2. Lesson 2

    Lesson 2: Patterns: Number Rules

  3. Lesson 3

    Lesson 3: Patterns: Repeating Shapes