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 2 years ago
How can I know what a summation of series will eventually converge to? For example, in this series:
\[\sum _{ i=1 }^{ n }{ { 2 }^{ i1 } } \]
What are the steps I should take to know that it will eventually converge into what equation?
 2 years ago
How can I know what a summation of series will eventually converge to? For example, in this series: \[\sum _{ i=1 }^{ n }{ { 2 }^{ i1 } } \] What are the steps I should take to know that it will eventually converge into what equation?

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FoolForMath
 2 years ago
Best ResponseYou've already chosen the best response.0Hint: This is a geometric series

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1another hint, 2>1, so convergence is unlikely

xEnOnn
 2 years ago
Best ResponseYou've already chosen the best response.0Thanks for the hints. By the way, it does converge. It converges to \[2^n1\]

xEnOnn
 2 years ago
Best ResponseYou've already chosen the best response.0But of course, if the series goes to infinity, then it wouldn't converge.

FoolForMath
 2 years ago
Best ResponseYou've already chosen the best response.0How can a finite series don't converge?
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