To relate sequences of odd numbers between consecutive square numbers.

**Patterns in Numbers**

__To relate sequences of odd numbers between consecutive
square numbers.__

Relationship between consecutive
square numbers and odd numbers.

We have already learnt about the
relationship between square numbers and triangular numbers.

Now we are going to know the
relationship between consecutive square numbers and odd numbers.

When we add the consecutive odd
numbers from 1, we will get the square numbers.

**Note: **1 is common number among square and triangular numbers.

** **

**Try this**

a. 1 + 3 + 5 + 7 + 9 + 11
= __36__ = __6 × 6__ = __6 ^{2}__

b. 1 + 3 + 5 + 7 + 9 + 11
+ 13 = __49__** **=** 7 × 7
**=

c. 1 + 3 + 5 + 7 + 9 + 11
+ 13 + 15 = ** 64** =

** **

**Find the missing number!**

**Relationship between
Square number and Triangle numbers**

In mathematics, a square triangular number (or
triangular square number) is a number which is both a triangular number and a
perfect
square. There are infinitely many
square triangular numbers.

The sum of green and white triangles is denote the square
number.

**Let us
Know: **‘36’ is triangular and square number.

** **

Tags : Patterns | Term 1 Chapter 3 | 5th Maths , 5th Maths : Term 1 Unit 3 : Patterns

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5th Maths : Term 1 Unit 3 : Patterns : Relationship between consecutive square numbers and odd numbers | Patterns | Term 1 Chapter 3 | 5th Maths

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