(2/43)(3/43)(4/43)(5/43)(6/43)(7/43)(8/43)(9/43... -
, 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:
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...
. 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
∏n=2kn43product from n equals 2 to k of n over 43 end-fraction 1. Identify the general term The general term of this sequence is (2/43)(3/43)(4/43)(5/43)(6/43)(7/43)(8/43)(9/43...