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We can rewrite the product of these 31 fractions as a single expression using factorials: (2/32)(3/32)(4/32)(5/32)(6/32)(7/32)(8/32)(9/32...
P=2×3×4×…×323231cap P equals the fraction with numerator 2 cross 3 cross 4 cross … cross 32 and denominator 32 to the 31st power end-fraction AI responses may include mistakes
∏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 Identify product sequence P=2
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
The following graph shows how the cumulative product decreases as more terms are added to the sequence. The product of the sequence is exactly