Study the pattern for the following geometric sequence, and write down the next two terms.
3, 1, 1/3
To find the pattern in this geometric sequence we divide each term by the previous term:
1st term / 2nd term = 3/1 = 3
2nd term / 3rd term = 1/ (1/3) = 3
The pattern is that each term is being divided by 3 to get the next term.
The next two terms would be:
(1/3) / 3 = 1/9
(1/9) / 3 = 1/27
So, the next two terms in the sequence are 1/9 and 1/27.