Question

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 :(

Answer 1

|r|<1, so it's convergent

Answer 2

????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 :(

Answer 3

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)

Answer 4

ok thanks!! i got it ;)