100
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There is no solution. Since 126 is even and two consecutive integers have to be one odd and one even number, an odd and an even number cannot summate to an even number.
There are none because two consecutive even integers would add up to an even number and the number given of 217 is an odd number.
If you add two to any even number you will get the next consecutive even number. The simplest way would be to start with the number two, so the sequence would be 2,4,6.
Any two consecutive numbers must comprise one odd and one even number, so their product must be even. Any three consecutive numbers must include two consecutive numbers so the result still applies.
None exist. 100 is an even number and two consecutive integers can only add up to an odd number. This is because only 2 evens can add up to an even number and no two even numbers are consecutive. (or two odds, but no two odd numbers are consecutive either)