With gratitude and apologies to the young Gauss . . .
The sum of the first number from each end of the range = 1 + 10,000 = 10,001
The sum of the second number from each end of the range = 2 + 9,999 = 10,001
The sum of the third number from each end of the range = 3 + 9,998 = 10,001
The sum of the fourth number from each end of the range = 4 + 9,997 = 10,001
The sum of the fifth number from each end of the range = 5 + 9,996 = 10,001
.
.
etc.
The sum of each pair is 10,001 and there are 5,000 pairs.
The grand total is (5,000) times (10,001) = 50,005,000 .
The sum of all odd numbers 1 to 120,000 is 14,400,000,000.
The answer is zero !
The sum is infinite
The sum of all the numbers 1 through 200 is 20,100.
The sum of all odd numbers from 1 to 64 inclusive is 4,096
110000
There are infinitely many pairs. Two examples are 55000 and 55000, or 100000 and 10000.
The sum of all the numbers from 101 through 200 is 15,050.
The sum of all odd numbers 1 to 120,000 is 14,400,000,000.
The answer is zero !
The sum is infinite
The sum of all the numbers 1 through 200 is 20,100.
The sum of all the odd numbers between 1 and 12000 is 36000000.
The sum of all odd numbers from 1 to 64 inclusive is 4,096
The sum of the all prime numbers from 1 to 100 is 1,161
500
501