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
| 12th 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
| 12th Dec, 2013,
09:37: PM
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