To verify that the sum of first n odd natural numbers is n2. • Draw squares of sides 1 cm, 2 cm, 3 cm, 4 cm and 5 cm and cut them.

Question

To verify that the sum of first n odd natural numbers is n2. • 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 1×1 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… 12 = 1 22 = 1+3=4 32 = 1+3+5=9 42=1+3+5+7=16 52=1+3+5+7+9=25

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half the following number:
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