To find the common ratio between successive terms in the geometric sequence 27, 9, 3, 1, we need to divide each term by the previous term.
Let’s calculate:
- First term (27) to the second term (9): 9 ÷ 27 = 1/3
- Second term (9) to the third term (3): 3 ÷ 9 = 1/3
- Third term (3) to the fourth term (1): 1 ÷ 3 = 1/3
As we can see from these calculations, the ratio remains constant at 1/3 for all successive terms.
Therefore, the common ratio of the sequence is 1/3.