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Q: What is average of first 100 even numbers?

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even numbers 1-100

The even numbers up to 100 are: 2 468101214161820222426283032343638404244464850525456586062646668707274767880828486889092949698100.

There can be no such number because numbers are infinitely dense. Consider 100.1 the average of 100 and 100.1 = 100.05. It is closer to 100 and bigger than 100. The average of 100 and 100.05 = 100.025. It is even closer to 100 and bigger than 100. The average of 100 and 100.25 = 100.0125. It is even closer to 100 and bigger than 100. and this process can go on and on and on.

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

100

Related questions

The first 100 even numbers are: 2 468101214161820222426283032343638404244464850525456586062646668707274767880828486889092949698100102104106108110112114116118120122124126128130132134136138140142144146148150152154156158160162164166168170172174176178180182184186188190192194196198200.

The first 100 whole, even numbers are: 2468101214161820222426283032343638404244464850525456586062646668707274767880828486889092949698100102104106108110112114116118120122124126128130132134136138140142144146148150152154156158160162164166168170172174176178180182184186188190192194196198200.

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

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

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

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

50.5

50.5

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

The average is the sum of those 100 numbers divided by 100.

n*(n+1)=sum 100*(100+1)=10100

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