To get from 1/27 to 1/9, we multiply 1/27 by 3/1. The same thing applies when we go from 1/9 to 1/3. So, just keep multiplying your answers by 3 until you come to the ninth number in this sequence. I figure the answer to be 243, but you may want to do it for yourself.
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Each number in the sequence is 3 times the previous number.
1st: 1/27
2nd: 1/9
3rd: 1/3
4th: 1
5th: 3
6th: 9
7th: 27
8th: 81
9th: 243
The answer is 243.
The nth number in the sequence is 3^(n-4).
To get from 1/27 to 1/9, we multiply 1/27 by 3/1. The same thing applies when we go from 1/9 to 1/3. So, just keep multiplying your answers by 3 until you come to the ninth number in this sequence. I figure the answer to be 243, but you may want to do it for yourself.
I'm pretty sure the answer is 243. All that is happening is that the number is being multiplied by 3.
3 x 1/27 = 3/27 (which rounds off to 1/9)
3 x 1/9 = 3/9 (which rounds off to 1/3)
and so on... do it 9 times and you've got 243.