Is the series 72, 48, 32,... an arithmetic or geometric series. WHat is common difference or ratio
What is the tenth term of 72, 48, 32???
72 48 32 arithmetic or geometric
it appears to be a geometric sequence where the common ratio is 2/3.
To determine whether the series 72, 48, 32,... is an arithmetic or geometric series, we need to observe the pattern between consecutive terms.
First, let's find the common difference by subtracting consecutive terms:
48 - 72 = -24
32 - 48 = -16
As we can see, the difference between consecutive terms is not constant. Therefore, the series is not an arithmetic series.
Now, let's find the common ratio by dividing consecutive terms:
48 ÷ 72 = 2/3
32 ÷ 48 = 2/3
As we can see, the ratio between consecutive terms is constant, which is 2/3. Therefore, the series is a geometric series.
In summary:
- The series 72, 48, 32,... is a geometric series.
- The common ratio is 2/3.