Does changing the summation index change the series?

[baby_1]

Hello
i want to know if we have a series with this equation

and change it to this form

the statement in Summation change or not?(

this changes it right?

where can i find the Summation notes?

 

[mathman]

(Assuming convergence) The first change makes no difference. The second change, you have n=0 twice.

 

[baby_1]

Thanks mathman
could you tell me how can i improve myself Summation? where can i find the Summation tips?

 

[mathman]

Thanks mathman
could you tell me how can i improve myself Summation? where can i find the Summation tips?

http://en.wikipedia.org/wiki/Summation

Start here. Also google "summation".

 

[baby_1]

Thanks mathman
i have another questions

you assume that series is:

can i multiple (-) (t and 0) ?

if yes what about argument (it changed?)?

 

[baby_1]

what about this series ?

this changes is it right?

 

[mathman]

I don't understand what you are trying to do. If you change the limits the summation index must be changed in a consistent manner.