Not a telescoping series

[Loki123]

I was going to solve this as a telescoping series but it's not working what do I do?

 

[BigBeachBanana]

How do you [imath]\frac{1}{1}[/imath] as your first term?? n is supposed to be an integer?

 

[Harry_the_cat]

Forget the first term and add it on later.

 

[Loki123]

How do you [imath]\frac{1}{1}[/imath] as your first term?? n is supposed to be an integer?

if you mean the problem itself, that's how it's written. i can send you a photo if you want.

 

[BigBeachBanana]

Assume the series start from n=2 and you're trying to find the inifite sum. (Again, an incomplete question). What you have so far:[math]\frac{1}{2}\sum_{n=2}^{\infty}\left(\frac{1}{n-1}-\frac{1}{n+1}\right)[/math]Write out the first 6 terms and the last 4 nth terms. What do you notice? If you don't see it write out more terms.

 

[blamocur]

It might also help to break the some into two, one for odd [imath]n[/imath]'s, another for even ones.

 

[Loki123]

Assume the series start from n=2 and you're trying to find the inifite sum. (Again, an incomplete question). What you have so far:[math]\frac{1}{2}\sum_{n=2}^{\infty}\left(\frac{1}{n-1}-\frac{1}{n+1}\right)[/math]Write out the first 6 terms and the last 4 nth terms. What do you notice? If you don't see it write out more terms.

i got 7/4 thanks

 

[blamocur]

My script agrees