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You do not need a conjecture; you can calculate the answer.

The answer is 10,100

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

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There is no conjecture about the sum of the first 30 positive even numbers. The answer can be derived and proven. A statement that has been proven is no longer a conjecture.

One possible conjecture is that their sum is 27. The conjecture is patently false, but that does not stop it being a conjecture.

My conjecture is that the sum is 67. A conjecture does not have to be true, or even plausible. You should be able to test it. If it is found to be true then in is no longer a conjecture, if it is found to be false, it is rejected - and so no longer a conjecture. If it cannot be proved either way, it remains a conjecture.

The answer to what is the sum of the first positive even numbers is 930. It doesn't mean that you add all the even numbers up until you reach the number 30. In fact, since you have to get the sum of the even numbers, you have to add all even numbers until you get to the number 60.

The sum of two negative numbers is 27.5 unless you add them together on a Tuesday, in which case the sum is 25.7. That is a conjecture about the sum of two negative numbers. There is no reason for a conjecture to be true, or even credible.

Related questions

There is no conjecture about the sum of the first 30 positive even numbers. The answer can be derived and proven. A statement that has been proven is no longer a conjecture.

One possible conjecture is that their sum is 27. The conjecture is patently false, but that does not stop it being a conjecture.

My conjecture is that the sum is 67. A conjecture does not have to be true, or even plausible. You should be able to test it. If it is found to be true then in is no longer a conjecture, if it is found to be false, it is rejected - and so no longer a conjecture. If it cannot be proved either way, it remains a conjecture.

The sum of the first 30 positive even numbers is 930.

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

The sum of the first 30 positive even numbers is 930.

Any conjecture you want; a conjecture is merely an opinion or conclusion based on given information. Whether the conjecture is true or not is left to be proved (if provable at all). One opinion (conjecture) could be that the sum is "blue". It's a totally nonsense conjecture, but its a conjecture none the less. A sensible conjecture might be that the sum is odd. This can be tested and found to be true or false by summing the first 46 odd numbers (a mechanical method that is fairly easy in this case), or by the mathematical manipulation of axioms via algebra (a mathematical proof).

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

Goldbach's conjecture

twenty

The answer to what is the sum of the first positive even numbers is 930. It doesn't mean that you add all the even numbers up until you reach the number 30. In fact, since you have to get the sum of the even numbers, you have to add all even numbers until you get to the number 60.

The sum of two negative numbers is 27.5 unless you add them together on a Tuesday, in which case the sum is 25.7. That is a conjecture about the sum of two negative numbers. There is no reason for a conjecture to be true, or even credible.