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The sum of the first 100 numbers is 5050. The sum of the first 100 even numbers is twice that, so it is 10100 Here is why. Look at the sum of the first 5 numbers, write them as 1 2 3 4 5 and then write them as 5 4 3 2 1 and write the two rows on top of each other. We 5+1 and 4+2 and 3+3 etc. So we have 5 six's and the sum is 5x6, but we wrote them twice, so divide by 2 so the sum is 5X6/2=15 as as we see just by adding them. 1+2+3+4+5=15, Now, look at the first 5 even numbers, 2,4,6,8,10= 30 which is 2 times the first 5 numbers. If we wrote them the same way we wrote the first 5 numbers we have two rows 2,4,6,8,10 and second row 10,,8,6,4,2. We have 5 ( 12)=60, but we counted each number twice, so 60/2=20

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Q: Sum of the first 100 positive even numbers?
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Related questions

What is the sum of the first 100 positive even numbers?

The sum of the first 100 positive even numbers is 10,100.


The sum of the first 100 positive even numbers?

The sum of the first 100 positive even numbers can be calculated using the formula for the sum of an arithmetic series: n*(first term + last term)/2. In this case, the first term is 2, the last term is 200, and n is 100. Therefore, the sum is 10,100.


What is the conjecture of the sum of the first 100 positive even numbers?

You do not need a conjecture; you can calculate the answer. The answer is 10,100


What is the first 100 even numbers?

The first 100 even numbers are: 2 468101214161820222426283032343638404244464850525456586062646668707274767880828486889092949698100102104106108110112114116118120122124126128130132134136138140142144146148150152154156158160162164166168170172174176178180182184186188190192194196198200.


First 100 even numbers?

The first 100 whole, even numbers are: 2468101214161820222426283032343638404244464850525456586062646668707274767880828486889092949698100102104106108110112114116118120122124126128130132134136138140142144146148150152154156158160162164166168170172174176178180182184186188190192194196198200.


What is the smallest three-digit even number?

The smallest three-digit even number is -998. However, while considering only positive numbers, the smallest three-digit number even number is then 100.


What is the sum of the first 100 even numbers the sum of the first 5 even numbers is 2 4 6 8 1030?

The sum of the first 100 even numbers is 10,100


What is the sum of all the first 100 even numbers?

The sum of all the first 100 even numbers is 10,100.


What mathematician did the first 100 positive even numbers?

All numbers are used in all known languages, just spelt differntly, so no-one knows,sorry


The sum of the first positive 100 odd numbers?

The sum of the first 100 odd numbers (1 through 199) is 10000 (ten thou)


Sum of the first 100 positive even integers?

10100.


What is the sum of the first 100 positive numbers?

We have to assume that you're talking about whole numbers. The sum is 5,050 .