Class 08 Squares and Squareroots To verify that the sum of first n odd natural numbers is n^2.

 

Squares and Squareroots

 

Activity-3 :

To verify that the sum of first n odd natural numbers is .

DATE:

 

AIM / Objective:

To verify that the sum of first n odd natural numbers is n^2.

MATERIALS REQUIRED:

Pencil, scale, eraser

 

PREREQUISITE KNOWLEDGE:

Concept of squares

 

PROCEDURE:

 

• Draw squares of sides 1 cm, 2 cm, 3 cm, 4 cm and 5 cm and cut them.

• Divide the squares into smaller squares of side 1x1 and shade each square with a different colour.

Count the number of squares in different colour bands

and write the numbers at the corners as shown.

and so on...

 = 1

 = 1+3=4

 = 1+3+5=9

=1+3+5+7=16

=1+3+5+7+9=25

LEARNING ASSESSMENT:

Verify that the sum of first n odd natural numbers is .

 

SOLUTION: