Take the first two odd numbers. Now add them, see what you get. Now, at every step, add the next odd number. 1 + 3 = 4 =2 x 2 1+3+5=9=3 x 3 1 + 3 + 5 + 7 = 16 =4 x 4 l+3 + 5 + 7 + 9 = … =… x … 1 + 3 + 5 + 7 + 9 + 11 = …=… x …. 1 + 3 + 5 + 7 + 9 + 11 + 13 = … = … x … 1.How far can you go on?
Ans. Complete patterns are as follows: 1+3 + 5 + 7 + 9 = 25=5 x 5 1 + 3 + 5 + 7 + 9 + 11 = 36 = 6 x 6 1 + 3 + 5 + 7 + 9 + 11 + 13 = 49 =7 x 7 This process can go on and on. The sum of first ‘n’ odd numbers can be given by ‘n x n’
