What is the product of 3/2 *4/3 *5/4...*2006/2005?
2007-02-24 03:14:52 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Choices are...
A) 1
B) 1002
C) 1003
D) 2005
E) 2006
2007-02-24 03:16:19 · update #1
The pattern is that teh denom of the previous number becomes teh numberator of teh next number. Then THAT denom is one less.
3 4 5 6 7 8 9.....
2 3 4 5 6 7 8.....
When multiplying fractions, you can cross cancel. That that means is:
3 X 4 = 12 = 2
2 3 6
The left top 3 is CANCELLED by teh bottom right 3.
so that pattern goes on and on until 2006/2005
The 2005 will be cancelled out from teh pattern.
That leaves 2006 as your numerator.
2006 divided by 2 (The first denom that DIDNT cancel out) is 1003
2007-02-24 03:27:26 · answer #1 · answered by Jennifer Anne 4 · 0⤊ 0⤋
= 3*4*5/2*3*4*.....=2006/2 =1003 Because simplifying, in the numerator only the last factor remains and in the denominator the first one .
2007-02-24 11:33:03 · answer #2 · answered by santmann2002 7 · 0⤊ 0⤋
the numerators and denominators are canceling out for the most part. when you're done, you have 2006/2, or 1003
2007-02-24 11:20:40 · answer #3 · answered by creepy_mitch 2 · 0⤊ 0⤋