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Garcia_123

  • 3 years ago

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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  1. hieuvo
    • 3 years ago
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    |dw:1354575824015:dw|

  2. hieuvo
    • 3 years ago
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    |r|<1, so it's convergent

  3. Garcia_123
    • 3 years ago
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    ????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 :(

  4. hieuvo
    • 3 years ago
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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)

  5. Garcia_123
    • 3 years ago
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    ok thanks!! i got it ;)

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