complete the pattern:1,2/3,4/9,4,4,4

1,2/3,4/9,8/27,16/81,32/243

If you meant 4 as in blank

To complete the pattern, let's analyze the given sequence: 1, 2/3, 4/9, 4, 4, 4.

From the pattern, we can observe that the first two terms are fractions, followed by repeating 4s. Let's break it down step by step:

1. The first term is 1.
2. The second term, 2/3, is obtained by dividing 2 by 3.
3. The third term, 4/9, is obtained by dividing 4 by 9.
4. From the fourth term onwards, we have three consecutive 4s.

Based on this analysis, it seems like the pattern is alternating between fractions and repeating 4s. To understand the pattern more clearly, we can focus on the denominators of the fractions:

The denominators are as follows:
1. The denominator of the second term is 3 (2/3).
2. The denominator of the third term is 9 (4/9).

We can see that the denominators are increasing in a certain pattern. In the second term, the denominator is 3, and in the third term, it is 3 squared (9). Following this pattern, the next denominator would be 9 cubed (81).

Therefore, to complete the pattern, we can assume that the next term would be 4/81. So, the completed pattern is: 1, 2/3, 4/9, 4, 4, 4, 4/81.

Are you certain you have it correctly?

The 4,4,4 at the end is odd

1, 2/3, 4/9, 8/27, 16/81, ... is a geometric sequence.