Solve Summation Problem & Find Notes | Hello

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baby_1
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Hello
i want to know if we have a series with this equation
gif.gif


and change it to this form
gif.gif

the statement in Summation change or not?(
gif.gif


this changes it right?
gif.gif


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

you assume that series is:
gif.gif


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

if yes what about argument (it changed?)?
 
what about this series ?

gif.gif


this changes is it right?
gif.gif