Write a factorial formula for the product of: 1) the first six odd positive integers 2) the first ten odd "+"integers 3) the first n odd positive intg

1 Answer | Add Yours

embizze's profile pic

embizze | High School Teacher | (Level 1) Educator Emeritus

Posted on

For any n, the product of the first n odd positive integers is given by




For example:

1x3x5x7x9x11=`(12!)/(6!2^6)=(12*11*10*9*8*7)/(64)` Notice that all of the even factors cancel leaving 3x11x5x9x7 in the numerator, as required.

The first 10 odd positive integers:



We’ve answered 317,354 questions. We can answer yours, too.

Ask a question