Even and Odd
Level
pending
What is the difference between the sum of the positive even integers below 100 and the sum of the positive odd integers below 100 ?
The answer is 50.
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1 solution
Even integer less than 100 = (0, 2, 4, 6, ...., 96, 98) i.e. 50 even numbers,
Odd integer less than 100 = (1, 3, 5, ...95, 97, 99), i.e. 50 odd numbers.
Difference of the sum of Even integers and sum of odd integers is :-
Sum of Odd numbers - sum of even numbers,
(1+3+5+7+....95+97+99) - (0+2+4+6...+96+98)
= (1-0) + (3-2) + (5-4) ........ + (97-96) + (99-98)
= 1 + 1 +1 +............+ 1 + 1
=50