sequence help

**ahmedb** · January 12th 2012, 07:35 PM

determine the 100th term of the sequence.
1/2,2/5,3/8,4/11
explain, please and thanks

**pickslides** · January 12th 2012, 07:41 PM

The numerator is increasing by...

The denominator is increasing by...

**ahmedb** · January 12th 2012, 07:47 PM

thanks alot

**chisigma** · January 12th 2012, 07:59 PM

The sequence can be written as $x_{n}= \frac{n}{a_{n}}$ where $a_{n}$ is the solution of the difference equation...

$a_{n+1}= a_{n}+3 ,\ a_{1}=2$ (1)

... that is $a_{n}= 3n-1$ , so that is...

$x_{n}= \frac{n}{3n-1}$ (2)

At this point You have to insert in (2) n=100...

Kind regards

$\chi$ $\sigma$

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