for the given geometric sequence, does the infinite series have a limit? If so, find the limit. 2,-4/3,8/9,-16/27 PLEASE HELP ASAP :(

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for the given geometric sequence, does the infinite series have a limit? If so, find the limit. 2,-4/3,8/9,-16/27 PLEASE HELP ASAP :(

Mathematics
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|dw:1354575824015:dw|
|r|<1, so it's convergent
????thanks but i'm confused because my instructor came up with 6/5 as the final answer but i have no idea how he got that :(

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so, first you find r, which is the rate of the sequence, by dividing the following series with the previous one. then if |r| <1 which in this case 2/3, it has limit. a is the first term, or 2 in this problem. the formula is S = a/(1-r)
ok thanks!! i got it ;)

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