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Simplify completely (your answer may contain n): (1-(1/3))(1-(1/4))(1-(1/5))(1-(1/6))...(1-(1/n))?
Don't remember how to do this type of problem and pre-calc was so long ago for me.
(1-(1/5))(1-(1/6))...(1-(1/n))
This was cut off from the question...
4 Answers
- 1 decade agoFavorite Answer
Try simplifying it and you will see that the answer is indeed 2/n.
1- 1/3 = 2/3
1-1/4= 3/4 etc
so you get (2/3)(3/4)(4/5)....(n -2/n-1)(n-1/n)
You can divide out the matching numerators and denominators. This leaves you with the 2 from the first term and the n in the numerator from the last term.
Your answer is 2/n.
- Anonymous1 decade ago
2/n