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: