please help me with this rational numbers question: (1-1/16)(1-1/25)(1-1/36)...(1-1/3600)

[AhmedAlmosuli]

 

[MarkFL]

Think of each factor in the form:

\(\displaystyle \frac{(n-1)(n+1)}{n^2}\)

And then all the cancellations that you can do.

 

[Otis]

Hi Ahmed. Do the subtractions for the first four terms (i.e., write each term as a proper fraction), and you'll see the pattern that Mark posted. Factor each numerator as Mark shows, then do the cancellations and see what remains. Once you have the result for n=4 to n=7 (the first four terms), you can extrapolate to what remains for n=4 to n=60. Please show what you've tried, if you'd like more help.
[imath]\;[/imath]

 

[AhmedAlmosuli]

Think of each factor in the form:

\(\displaystyle \frac{(n-1)(n+1)}{n^2}\)

And then all the cancellations that you can do.

thanks

 

[AhmedAlmosuli]

Hi Ahmed. Do the subtractions for the first four terms (i.e., write each term as a proper fraction), and you'll see the pattern that Mark posted. Factor each numerator as Mark shows, then do the cancellations and see what remains. Once you have the result for n=4 to n=7 (the first four terms), you can extrapolate to what remains for n=4 to n=60. Please show what you've tried, if you'd like more help.
[imath]\;[/imath]

thanks it worked
i was stuck in this question for an hour i appreciate your help