Find the value of (1 + 3 + 5 + 7 + 9 + 11 + 13 + 15).
25
36
49
64
We know that, sum of n consecutive odd integers starting from 1 is equal to n2. Here the total number of consecutive odd integers is 8. Thus, n = 8 and their sum is 82=64.
Without adding find the sum
(i) 1 + 3 + 5 + 7 + 9
(ii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19
(iii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23