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Here is a nice way to see and remember this. Look at the sum of the first 5 counting number Write them as 1,2,3,4,5 Now write them backward as 5,4,3,2,1 Place the second list under the first list and add the numbers in each column. Each sum is 6 and there are 5 sums. However, you counted the numbers twice since you wrote the list both ways. So the sum of the first 5 numbers is 5x6/2 In general the sum of the first n natural numbers is n(n+1)/2 So the sum of the first 100 numbers is 100x101/2=50x101=5050 This formula can also be proved by induction and several other ways.

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Q: What is the sum of the first one hundred counting number?
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Related questions

What code be the first number that has letter A?

Astonishingly, if you write the counting numbers in words,you don't use the letter 'A' until "one thousAnd".Note: ' 101 ' is "one hundred one", NOT "one hundred andone".


If you count from one to hundred how many 6 will you pass on the way?

The number 6 appears 20 times when counting from one to one hundred.


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4 is the first composite number greater than 1.


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How high would you have to count before you would use the letter A in the English language spelling of a whole number?

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