6-8 Example

Some numbers can be written as a sum of consecutive positive integers, for example:

  6 = 1 + 2 + 3
15 = 4 + 5 + 6
     = 1 + 2 + 3 + 4 + 5

Which numbers have this property?

Sally made this conjecture: "Powers of 2 cannot be expressed as a consecutive sum."

Agree or disagree and explain your reasoning.

Consider the following modifications for learners who need additional support, including English learners and students with special needs:

Ensure any modification does not reduce the cognitive demand of the task.