What is the result of the series \(1 + 2 + 3 + \ldots + 99 + 100 + 99 + \ldots + 3 + 2 + 1\)?
Answer (2)
The result of that sum is 10,000 .
The result of the series 1 + 2 + 3 + … + 100 + 99 + … + 3 + 2 + 1 is 10100 . This is found by calculating the sum of the integers from 1 to 100, which is 5050, and doubling it for the second half of the series. Thus, the total is 5050 + 5050 = 10100 .
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