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NUMBER PATTERNS

Number Patterns

Definition Of Number Patterns

Number Pattern is a list of numbers that follow a certain rule.

More About Number Patterns

Some of the different types of number patterns are listed below:
Arithmetic Sequence: An Arithmetic Sequence is formed by adding a particular value each time to the value just before it.
Geometric Sequence: A Geometric Sequence is formed by multiplying a particular value each time to the value just before it.
Fibonacci Sequence: The Fibonacci Sequence starts with 0 and the sequence is formed by adding the two previous numbers.

Video Examples: What are Number Patterns?

Examples of Number Patterns

1, 3, 5, 7, 9,... is an arithmetic sequence as 2 is added each time to find the next term of the pattern
1, 2, 4, 8,... is a geometric sequence as 2 is multiplied each time to find the next term of the pattern.
0, 1, 1, 2, 3, 5, 8, 13,... is a Fibonacci sequence where the next number of the pattern is formed by adding 1 to the previous number.

Solved Example on Number Patterns

Ques: Find the next two numbers in the number pattern. 2, 4, 8, ___, ___,...

Choices:

A. 12, 17
B. 12, 14
C. 16, 32
D. 16, 62
Correct Answer: C

Solution:

Step 1: The given pattern is obtained by multiplying 2 to each number to get the next number in the pattern.
Step 2: The next two numbers in the pattern are 16, 32. [2 × 8 = 16, 2 × 16 = 32.]

Quick Summary

  • Number patterns involve identifying rules that govern a sequence of numbers.
  • Common types include arithmetic, geometric, and Fibonacci sequences.
  • Arithmetic sequences involve adding a constant value.
  • Geometric sequences involve multiplying by a constant value.
  • Fibonacci sequences involve adding the two preceding numbers.
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🍎 Teacher Insights

Encourage students to look for differences or ratios between consecutive terms. Use visual aids to represent the patterns. Start with simple patterns and gradually increase complexity.

🎓 Prerequisites

  • Basic Arithmetic
  • Understanding of operations (+, -, *, /)

Check Your Knowledge

Q1: What is the next number in the pattern: 2, 4, 6, 8, ...?

Q2: What is the next number in the pattern: 1, 2, 4, 8, ...?

Q3: What is the next number in the pattern: 1, 1, 2, 3, 5, ...?

Frequently Asked Questions

Q: What is an arithmetic sequence?
A: An arithmetic sequence is a sequence where the difference between consecutive terms is constant.

Q: What is a geometric sequence?
A: A geometric sequence is a sequence where each term is multiplied by a constant value to get the next term.

Q: What is a Fibonacci sequence?
A: A Fibonacci sequence is a sequence where each term is the sum of the two preceding terms, starting with 0 and 1.

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