Some patterns persist even longer. For the second integral, J n, the first 56 terms of the sequence (obtained by substituting the numbers 1 through 56 for n) are all π/2.But the 57 th term is ...

Exactly. I think it’s a really important idea, especially for math-anxious parents. Photo: Child works on the types of patterns Rittle-Johnson studies. Courtesy Bethany Rittle-Johnson.