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Q: What conjecture can you make about the sum of the first 10 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.

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

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 100 positive even numbers is 10,100.

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

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

the first positive even numbers are 2,4,6,8,10

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

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.

Goldbach's conjecture

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).

10,100

twenty

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.

The sum of the first 15 positive even numbers is 240. (Simply square 15, then add 15 to the result: 15 x 15 = 225. 225 + 15 = 240).

You can make whatever conjecture that you want: it does not have to be true or even logical. You could conjecture that the relationship is like the one between the Sun and the Earth!

The sum of the first 1,000,000 positive even numbers is: 2 + 4 + 6 + 8 + ... + 2,000,000 The sum of the first 1,000,000 positive odd integers is: 1 + 3 + 5 + 7 + ... + 1,999,999 The difference between the two is: (2-1) + (4-3) + (6-5) + (8-7) + ... + (2,000,000-1,999,999). This is the same as: 1 + 1 + 1 + 1 + ... + 1. Well how many 1's are there? 1,000,000. So the difference is 1,000,000. Note that if the question asked for the difference between the sum of the first 1,000 positive even numbers and the sum of the first 1,000 positive odd numbers, the answer would be 1,000. The first n even numbers and odd numbers? n.

The sum of the first three even positive integers is 2 + 4 + 6 = 12.

4,000 even numbers, 4,000 odd numbers.

Goldbach's conjecture states that every even integer which is greater than 2 can be expressed as the sum of two prime numbers.

You can't write that as the sum of two prime numbers. Note: Goldbach's Conjecture (for expressing numbers as the sum of two prime numbers) applies to EVEN numbers.

There is not "the" conjecture: there are several. The oldest and probably best known unsolved conjecture in number theory is the Goldbach conjecture. According to it every even integer greater than two can be expressed as the sum of two prime numbers.

Any 2 negative numbers, whether even or odd, when multiplied are positive

even numbers are exactly divisible by two. ie. they do not give a remainder when divided by 2. natural numbers are positive integers starting from 1. even natural numbers are a combination of both.. eg. 2,4,50 etc the term positive is not required for these numbers because, natural numbers are positive !... so positive 'natural number' is like saying ' approximated estimate '..

It is positive. Any product of an even number of negative numbers will be positive, regardless of how many positive numbers you have. Similarly any product of an odd number of negative numbers will be negative, regardless of how many positive numbers you have.

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