determine the 100th term of the sequence.
1/2,2/5,3/8,4/11
explain, please and thanks
The sequence can be written as $\displaystyle x_{n}= \frac{n}{a_{n}}$ where $\displaystyle a_{n}$ is the solution of the difference equation...
$\displaystyle a_{n+1}= a_{n}+3 ,\ a_{1}=2$ (1)
... that is $\displaystyle a_{n}= 3n-1$, so that is...
$\displaystyle x_{n}= \frac{n}{3n-1}$ (2)
At this point You have to insert in (2) n=100...
Kind regards
$\displaystyle \chi$ $\displaystyle \sigma$