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is even larger, the resulting value is extremely small. Using Stirling's approximation or computational tools, the value is determined to be:

The sequence provided follows the general form of a product of fractions where the numerator increases by in each term while the denominator remains constant at . The expression is written as:

In most mathematical contexts for this specific pattern, the sequence concludes when the numerator reaches the denominator ( 2. Simplify using factorials

The product of the sequence is approximately 1. Identify the mathematical pattern

until the final term, causing the total product to decrease exponentially. ✅ Final Result The total product for the sequence up to is approximately

∏n=2kn56=256⋅356⋅456⋯k56product from n equals 2 to k of n over 56 end-fraction equals 2 over 56 end-fraction center dot 3 over 56 end-fraction center dot 4 over 56 end-fraction ⋯ k over 56 end-fraction