what is the common ratio for this geometric series?
15
11
7
3
.5
The sequence
15,11,7,3,.5
is not geometric. The ratio between terms is not constant
11/15 ≠ 7/11 ≠ 3/7 ≠ .5/3
To find the common ratio of a geometric series, you divide the second term by the first term, the third term by the second term, and so on.
In this case, the common ratio can be calculated as follows:
Common ratio = (11/15) = 0.7333...
So, the common ratio for this geometric series is approximately 0.7333.
To find the common ratio of a geometric series, you need to divide each term by its preceding term. Let's calculate the common ratio for the given series:
To find the common ratio between the first term (15) and the second term (11), divide the second term by the first term: 11 / 15 = 0.7333 (rounded to four decimal places).
To find the common ratio between the second term (11) and the third term (7), divide the third term by the second term: 7 / 11 = 0.6364 (rounded to four decimal places).
To find the common ratio between the third term (7) and the fourth term (3), divide the fourth term by the third term: 3 / 7 = 0.4286 (rounded to four decimal places).
To find the common ratio between the fourth term (3) and the fifth term (0.5), divide the fifth term by the fourth term: 0.5 / 3 = 0.1667 (rounded to four decimal places).
Therefore, the common ratio for this geometric series is approximately 0.7333, 0.6364, 0.4286, 0.1667.