Problem of the Month (October 22nd, 2026)
During this session, we had students attempt to solve the problem of the month for October. The question at hand was the problem of the month by the Mathematical Association of America: [PDF Download]
Write the infinite sum \[ 1 + \frac{1}{4} + \frac{1}{9} + \frac{1}{16} + \frac{1}{25} + \frac{1}{36} + \ldots \] as an infinite product of fractions of the form \( \frac{n}{m} \), where \( n \) and \( m \) are different numbers in each fraction, but always satisfy \( n = m + 1 \).
When students solved the problem of the month, they got sent the following MAA prize:
If there are any students interested in problem solving, they should consider reading the following books:
