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sammietaygreen
 one year ago
Does the series converge or diverge? If it converges, what is the sum?
infinity to n1
4(1/2)^n1
sammietaygreen
 one year ago
Does the series converge or diverge? If it converges, what is the sum? infinity to n1 4(1/2)^n1

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sammietaygreen
 one year ago
Best ResponseYou've already chosen the best response.0I know it converges.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you know how to write the first four terms?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1this is a geometric series with r < 1, so it converges you don't even have to write out the first terms if you don't want to

sammietaygreen
 one year ago
Best ResponseYou've already chosen the best response.0yes, but how do I calculate the answer?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1Oh, right, it's asking for the sum, too the sum of a geometric sequence is S = a1/(1r) where a1 is the first term and r is the common ratio

sammietaygreen
 one year ago
Best ResponseYou've already chosen the best response.0I still don't completely understand. Sorry.

sammietaygreen
 one year ago
Best ResponseYou've already chosen the best response.0Oh!! I think I get it now.

sammietaygreen
 one year ago
Best ResponseYou've already chosen the best response.0is it because it has 1/2 in the equation?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1well, sort of the general form of a geometric sequence is a1(r)^(n1), so, yes, r = 1/2
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