To determine whether this sequence is arithmetic or geometric or neither, we need to examine the ratios of consecutive terms.
Let's calculate the ratios:
2nd term / 1st term = (1/3) / (1/2) = (1/3) * (2/1) = 2/3
3rd term / 2nd term = (2/9) / (1/3) = (2/9) * (3/1) = 6/9 = 2/3
4th term / 3rd term = (4/27) / (2/9) = (4/27) * (9/2) = 36/54 = 2/3
The ratios between consecutive terms are all equal, specifically 2/3. Therefore, this sequence is geometric.
Determine whether this sequence is arithmetic or geometric or neither 1/2,1/3,2/9,4/27
1 answer