There's many consecutive sums out there

My math textbook has X X pages. While doodling, I discovered that X X can be expressed as

  • the sum of 4 consecutive integers,
  • the sum of 5 consecutive integers,
  • the sum of 6 consecutive integers, and
  • the sum of 7 consecutive integers.

However, rechecking shows that one of the above four is wrong. Which of these statements must be correct?

Select one or more

the sum of 4 consecutive integers the sum of 5 consecutive integers the sum of 6 consecutive integers the sum of 7 consecutive integers

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