Question

I need to help finding the 50th and 100th term of the infinite series ½ + ⅔ + ¾ +⅘ +... i can't seem to find a common ratio among the terms...

Answer 1

thats because its not geometric

the series appears to be

\[\sum_{n=1}^{\infty} \frac{n}{n + 1}\]

so substitute n = 50 to get the 50th term

then

n = 100 to get the 100th term....

hope it helps

Answer 2

oh yeah, thanks. No wonder it wasnt making sense. thank you so much