(2/43)(3/43)(4/43)(5/43)(6/43)(7/43)(8/43)(9/43... Apr 2026
. This is a sequence of rational numbers where the numerator follows an arithmetic progression. 2. Analyze the product growth For , each fraction is less than
, which will eventually cause the product to grow toward infinity. 3. Express using factorials If the product continues up to a specific integer , it can be written compactly using factorial notation: (2/43)(3/43)(4/43)(5/43)(6/43)(7/43)(8/43)(9/43...
k!43k−1the fraction with numerator k exclamation mark and denominator 43 raised to the k minus 1 power end-fraction each fraction is less than
The expression represents a where the numerator increases by in each term while the denominator remains constant at The product is given by: (2/43)(3/43)(4/43)(5/43)(6/43)(7/43)(8/43)(9/43...