Find the common ratio of the following geometric sequence:
40, 10,52,58, …
To find the common ratio of a geometric sequence, we need to divide each term by the previous term.
10 ÷ 40 = 1/4
52 ÷ 10 = 26/5
58 ÷ 52 = 29/26
So, the common ratio of the given sequence is 1/4 or 26/5 or 29/26.
To find the common ratio, we need to divide each term by the previous term.
Let's calculate the ratios:
10/40 = 0.25
52/10 = 5.2
58/52 = 1.115
The ratios are not consistent, which means this sequence is not a geometric sequence.
To find the common ratio of a geometric sequence, we need to calculate the ratio between consecutive terms.
The given sequence is: 40, 10, 52, 58, ...
To find the common ratio, we divide each term by its previous term.
The first term is 40. The second term is 10. The ratio between the first and second terms is:
10 ÷ 40 = 0.25
The second term is 10. The third term is 52. The ratio between the second and third term is:
52 ÷ 10 = 5.2
The third term is 52. The fourth term is 58. The ratio between the third and fourth term is:
58 ÷ 52 = 1.1154
As you can see, the ratios are not the same. Therefore, this sequence does not have a common ratio.
It's possible that there was a mistake in the sequence or that it isn't a geometric sequence.