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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).

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6y ago
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6y ago

One conjecture that you can make is that the sum is 27. A conjecture does not need to be true or even reasonable - it is just something that you think! It can then be proved to be true or (as in this case) false.

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Q: What conjecture can you make about the sum of the first 46 positive odd numbers?
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