CBSE Class 6 Mathematics
Question 10 of 25
Patterns in Mathematics — Question 12
Back to all questions 12
Question Can you find a similar pictorial explanation for why adding counting numbers up and down, i.e., 1, 1 + 2 + 1, 1 + 2 + 3 + 2 + 1,……., gives square numbers?
1 = 1 = (1)
2
1 + 2 + 1 = 4 = (2)
2
1 + 2 + 3 + 2 + 1 = 9 = (3)
2
1 + 2 + 3 + 4 + 3 + 2 + 1 = 16 = (4)
2
1 + 2 + 3 + 4 + 5 + 4 + 3 + 2 + 1 = 25 = (5)
2
1 + 2 + 3 + 4 + 5 + 6 + 5 + 4 + 3 + 2 + 1 = 36 = (6)
2
and so on.