CBSE Class 9 Answered
What is the difference between the sum of all positive odd integers less than 102 and the sum of all positive even integers less than 102
Asked by Navpankaj Jain | 12 Dec, 2013, 07:33: PM
Expert Answer
We have,101<102
Therefore, the first 101 integers consist of 50 even numbers and 51 odd numbers.
Sum of odd numbers = 1 + 3 + 5 + 7 + ... + 95 + 97 + 99 + 101
Sum of even numbers = 2 + 4 + 6 + ... + 94 + 96 + 98 + 100
Difference 1 + 1 + 1 + 1 + ... + 1 + 1 + 1 + 1
There are 51 odd numbers.
Therefore, the difference is 51.
Answered by Vimala Ramamurthy | 12 Dec, 2013, 09:37: PM
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