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anonymous
 one year ago
Find the sum of the infinite geometric series, if it exists. 4  1 +1/4 1/16 + . . .
A.  1
B. 3
C. 16/5
D. does not exist
anonymous
 one year ago
Find the sum of the infinite geometric series, if it exists. 4  1 +1/4 1/16 + . . . A.  1 B. 3 C. 16/5 D. does not exist

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433468481845:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0We have to find the common ratio since they told us this a geometric sequence. A common ratio (r) is basically the number divided by the preceding one. If we look at the sequence, we see that the common ration is 1/4 because: \[(1) / (4) = 1/4\] \[(1/4)/(1)= 1/4 \] \[(1/16)/(1/4)= 1/4\] Now, there is a formula for finding the sum of an infinite geometric sequence. Basically, there is only one condition: \[\Large \left r \right<1\] Or in other words \[\Large 1<r<1\] r= 1/4 so it will work. The formula is \[\Large Sum~of~a~geometric~sequence~(S_\infty)=\] \[\Large \frac{ a_1 }{ 1r }\] Where \[\Large a_1=first~term\] \[\Large r=~common~ratio\] Now plug in a_1= 4 and r= 1//4 in and tell me what you get

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Everywhere I said sequence, I meant series*

courtneygraley009
 one year ago
Best ResponseYou've already chosen the best response.0Use this math calculator to solve this geometric series. http://www.acalculator.com/quadraticequationcalculatorformulasolver.html
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