IB Sigma Function

Algebra Level pending

What is the pattern of logic that can be observed from the fractions 1 2 \frac { 1 }{ 2 } , 1 24 \frac { 1 }{ 24 } , and 1 720 \frac { 1 }{ 720 } in the function above?

factorials of consecutive composite numbers factorials of consecutive prime numbers factorials of consecutive even numbers factorials of consecutive odd numbers

Adriel Padernal by Adriel Padernal , 22, Philippines

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1 solution

The Fractions 1/2 , 1/24 , 1/720 ,....... can be written as 1/(2X1) , 1/(4X3X2X1) , 1/(6X5X4X3X2X1) ,..... Or simply as: 1/2! , 1/4! , 1/6! ,.... Thus giving the answer as "the factorials of consecutive even numbers."

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