what would be the 6th term, 1,2/3,4/9,8/27,16/81

Multiply the numerator (top number) by 2 and the denominator (bottom number) by 3

To find the 6th term of the sequence, let's first determine the pattern. We can observe that each term is obtained by raising the number 2 to the power of the term number. The denominator is obtained by raising 3 to the power of the term number.

If we express the pattern more generally, it would be:

1st term: 2^1 / 3^1
2nd term: 2^2 / 3^2
3rd term: 2^3 / 3^3
4th term: 2^4 / 3^4
5th term: 2^5 / 3^5

To find the 6th term, we need to substitute the term number with 6:

6th term: 2^6 / 3^6

To simplify the expression further, we can calculate the values:

2^6 = 64
3^6 = 729

So, the 6th term would be:

6th term = 64 / 729

Therefore, the 6th term of the sequence is 64/729.