(2/14)(3/14)(4/14)(5/14)(6/14)(7/14)(8/14)(9/14... May 2026

The general term of the product can be expressed using factorial notation:

R=Pk+1Pk=k+114cap R equals the fraction with numerator cap P sub k plus 1 end-sub and denominator cap P sub k end-fraction equals the fraction with numerator k plus 1 and denominator 14 end-fraction For all (2/14)(3/14)(4/14)(5/14)(6/14)(7/14)(8/14)(9/14...

) act as "decay factors," significantly reducing the product's value before the linear growth of eventually dominates the exponential growth of 14k14 to the k-th power 2. Sequence Analysis The general term of the product can be