What is the next term in the sequence 81, 27, 3, 1, 1/3...
isn't this 3^n, with the first n =4, then 3, then 1, then 0, then -1
Me thinks your are missing a 9 (3^2) in the sequence.
To find the next term in the sequence, we can observe that each term is obtained by dividing the previous term by 3.
Starting with the first term, 81, we divide it by 3 to get the second term:
81 ÷ 3 = 27
Then, we divide the second term, 27, by 3 to get the third term:
27 ÷ 3 = 9
Continuing this pattern, we divide the third term, 9, by 3 to get the fourth term:
9 ÷ 3 = 3
Next, we divide the fourth term, 3, by 3 to get the fifth term:
3 ÷ 3 = 1
Finally, we divide the fifth term, 1, by 3 to find the sixth term:
1 ÷ 3 = 1/3
Therefore, the next term in the sequence is 1/3.
To find the next term in the sequence 81, 27, 3, 1, 1/3..., we need to identify the pattern or rule that governs the sequence. By examining the sequence, we can observe that each term is obtained by dividing the previous term by 3.
Here's the step-by-step process to find the next term:
1. Start with the given sequence: 81, 27, 3, 1, 1/3...
2. Divide the first term, 81, by 3: 81 ÷ 3 = 27. This gives us the second term.
3. Divide the second term, 27, by 3: 27 ÷ 3 = 3. This gives us the third term.
4. Divide the third term, 3, by 3: 3 ÷ 3 = 1. This gives us the fourth term.
5. Divide the fourth term, 1, by 3: 1 ÷ 3 = 1/3. This gives us the fifth term.
Hence, following the pattern, we can determine that the next term in the sequence is 1/3.