Find the common ratio of the following geometric sequence:
40, 10,5/2,5/8, …
To find the common ratio of a geometric sequence, we need to divide any term by its previous term.
The second term is 10, and the first term is 40.
So, the common ratio is 10/40 = 1/4.
The common ratio of the given geometric sequence is 1/4.
To find the common ratio of a geometric sequence, we divide each term by the previous term.
Let's find the common ratio for this sequence step-by-step:
First term (a₁) = 40
Second term (a₂) = 10
Third term (a₃) = 5/2
Fourth term (a₄) = 5/8
To find the common ratio, we divide each term by the previous term:
Common ratio = a₂ / a₁ = 10 / 40 = 1/4
Common ratio = a₃ / a₂ = (5/2) / 10 = 1/4
Common ratio = a₄ / a₃ = (5/8) / (5/2) = 1/4
So the common ratio of the geometric sequence is 1/4.
To find the common ratio of a geometric sequence, we divide any term by its preceding term.
In this case, let's take the second term, 10, and divide it by the first term, 40.
10/40 = 1/4
So, the common ratio of the geometric sequence is 1/4.