Table of Contents
Table of Contents
- Rules for Number Patterns as Algebraic Expressions
- Natural Numbers
- Even Numbers
- Odd Numbers
- What’s Next?
In the previous segment, we expressed perimeter and area of closed figures as algebraic expressions. In this segment, we will look at some number patterns.
How to express rules for number patterns as algebraic expressions?
We will look at some number patterns and express the rules that form them as algebraic expressions.
Natural numbers
1, 2, 3, 4, 5 … Are natural numbers, also known as counting numbers.
In order to move from one number to the next, we add 1 to the previous number. This can be expressed as follows:
if a natural number is denoted by n, then its successor is given by n + 1.
Even numbers
2, 4, 6, 8, 10 … are even numbers.
Multiplying a natural number by 2 gives an even number. So, the above even number series can be expressed as follows:
if a natural number is denoted by n, then 2n is an even number.
Odd numbers
1, 3, 5, 7, 9 … are odd numbers
Adding 1 to 0, or an even number gives an odd number. Except for 1, the rest of the odd numbers can be expressed as follows:
if a natural number is denoted by n, then 2n + 1 is an odd number.
