(2/32)(3/32)(4/32)(5/32)(6/32)(7/32)(8/32)(9/32... «Exclusive ›»

Notice that the numerator is the factorial of 32, but missing the first term (

The given expression is a product of fractions where the numerator increases by 1 for each term and the denominator remains constant at . The general term is . Based on the pattern, the sequence likely starts at and ends at (the point where the fraction equals 1). 2. Formulate the equation

To "prepare paper" for the expression , we must first define the product's range and then calculate its value. Assuming the sequence continues until the numerator reaches the denominator's value ( ), the product is: (2/32)(3/32)(4/32)(5/32)(6/32)(7/32)(8/32)(9/32...

∏n=232n32≈2.14×10-13product from n equals 2 to 32 of n over 32 end-fraction is approximately equal to 2.14 cross 10 to the negative 13 power 1. Identify product sequence

The following graph shows how the cumulative product decreases as more terms are added to the sequence. The product of the sequence is exactly Notice that the numerator is the factorial of

We can rewrite the product of these 31 fractions as a single expression using factorials:

P=2.6313×10351.2298×1048≈2.1396×10-13cap P equals the fraction with numerator 2.6313 cross 10 to the 35th power and denominator 1.2298 cross 10 to the 48th power end-fraction is approximately equal to 2.1396 cross 10 to the negative 13 power 4. Provide visual representation Identify product sequence The following graph shows how

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