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In Mathematics / Middle School | 2014-10-15

Calculate the sum: \(1 + 2 + 3 + \ldots + 98 + 99 + 100\)

Asked by Anonymous

Answer (3)

If you pair up the numbers 1 and 100, 2 and 99, 3 and 98, 4 and 97, and so on until you reach 50 and 51, you will have 50 pairs of numbers.
1 + 100 = 101 2 + 99 = 101 3 + 98 = 101 …
49 + 52 = 101 50 + 51 = 101
You will then have 50 pairs of numbers that each add up to 101. Therefore, you have 101 added to itself 50 times, which can be calculated by 50 * 101 = 5050
Hope this helps! :)

Answered by kittymaniac | 2024-06-10

All those numbers added, being numbers 1 through 100, is 5,050

Answered by rictgod123 | 2024-06-10

The sum of the numbers from 1 to 100 can be calculated by pairing them up to total 5,050. There are 50 pairs, each adding to 101. Therefore, the final answer is 5,050.
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Answered by kittymaniac | 2024-12-26