Odd Numbers

If continued odd numbers (starting from 1) are added, the sum is equal to the square* of the number of odd-numbers.

(i) 1 + 3 = 4 = 2 x 2 = 22

(ii) 1+3 + 5 = 9 = 3 x 3 = 32

(iii) 1 +3 + 5 + 7 = 16 = 4 x 4 = 42

(iv) 1 + 3 + 5 + 7 + 9 +11 = 36 = 6 x 6 = 62

…... and so on.


(a) The sum of first 10 odd numbers = 102 = 100

(b) The sum of first 15 odd numbers = 152 = 225

(c) The sum of first 19 odd numbers = 192 = 361

(d) The sum of first 21 odd numbers = 212 = 441

(e) The sum of first 26 odd numbers = 262 = 676



On the basis of the above facts regarding odd numbers, questions like these may be asked:

How many first odd numbers may give the sum 289?


Related Concept

● Patterns and Mental Mathematics

● Counting Numbers in Proper Pattern

● Odd Numbers Patterns

● Three Consecutive Numbers

● Number Formed by Any Power

● Product of The Number

● Magic Square

● Square of a Number

● Difference of The Squares

● Multiplied by Itself

● Puzzle

● Patterns

● Systems of Numeration






4th Grade Math Activities

From Odd Numbers to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

RSS

  1. Addition of Decimals | How to Add Decimals? | Adding Decimals|Addition

    Apr 24, 25 01:45 AM

    Addition of Decimals
    We will discuss here about the addition of decimals. Decimals are added in the same way as we add ordinary numbers. We arrange the digits in columns and then add as required. Let us consider some

    Read More

  2. Addition of Like Fractions | Examples | Videos | Worksheet | Fractions

    Apr 23, 25 09:23 AM

    Adding Like Fractions
    To add two or more like fractions we simplify add their numerators. The denominator remains same. Thus, to add the fractions with the same denominator, we simply add their numerators and write the com…

    Read More

  3. Subtraction | How to Subtract 2-digit, 3-digit, 4-digit Numbers?|Steps

    Apr 23, 25 12:41 AM

    Subtraction Example
    The answer of a subtraction sum is called DIFFERENCE. How to subtract 2-digit numbers? Steps are shown to subtract 2-digit numbers.

    Read More

  4. Subtraction of 4-Digit Numbers | Subtract Numbers with Four Digit

    Apr 23, 25 12:38 AM

    Properties of Subtraction of 4-Digit Numbers
    We will learn about the subtraction of 4-digit numbers (without borrowing and with borrowing). We know when one number is subtracted from another number the result obtained is called the difference.

    Read More

  5. Subtraction with Regrouping | 4-Digit, 5-Digit and 6-Digit Subtraction

    Apr 23, 25 12:34 AM

    Subtraction of 5-Digit Numbers with Regrouping
    We will learn subtraction 4-digit, 5-digit and 6-digit numbers with regrouping. Subtraction of 4-digit numbers can be done in the same way as we do subtraction of smaller numbers. We first arrange the…

    Read More