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Find the 8th term of the geometric sequence -324, -108, -36, -12, . . .

1 Answer

3 votes

Answer:

the 8th term is 0.148148148148...

Explanation:

-108÷(-324)=0.333333333333 = 1/3

(-36)÷(-108)=0.333333333333

(-12)÷(-36)=0.333333333333

then the common ratio of the sequence is 1/3

then

the 5th term is 12×(1÷3) = 4

the 6th term is 4×(1÷3) = 1.333333333333

the 7th term is 1.333333333333×(1÷3) = 0.444444444444

the 8th term is 0.444444444444×(1÷3) = 0.148148148148

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