Question 196868
The numerators follow the pattern: 1, 1, 1, ...

The denominators follow the pattern: 3, 9, 27, ...




Notice how if multiply 3 by 3, we get 9. If we multiply 9 by 3, we get 27, etc..



So the rule is to multiply the denominators by 3 to get the next term. So the next three denominators are: {{{27*3=81}}}, {{{81*3=243}}}, and {{{243*3=729}}}



This means that the next three terms are: {{{1/81}}}, {{{1/243}}} and {{{1/729}}}