The common ratio between successive terms in the sequence 27, 9, 3, 1 is 1/3.
This sequence is a geometric sequence, which means each term is found by multiplying the previous term by a constant value. This constant value is the common ratio.
To find the common ratio in the given sequence, we can divide any term by the term that precedes it:
- 9 / 27 = 1/3
- 3 / 9 = 1/3
- 1 / 3 = 1/3
As shown by the calculations above, the common ratio is consistently 1/3.
Here is a breakdown in a table format:
| Term | Value | Calculation | Common Ratio |
|---|---|---|---|
| 1st | 27 | ||
| 2nd | 9 | 9 / 27 = 1/3 | 1/3 |
| 3rd | 3 | 3 / 9 = 1/3 | 1/3 |
| 4th | 1 | 1 / 3 = 1/3 | 1/3 |
The reference provided also confirms this, stating: "The common ratio between successive terms in the sequence 27, 9, 3, 1,... is 1/3."
