The second term in a geometric sequence is 20. The fourth term in the same sequence is 45/4, or 11.25. What is the common ratio in this sequence?Answer here
Question
The second term in a geometric sequence is 20.
The fourth term in the same sequence is , or 11.25. What is the common ratio in this sequence?
Solution
In a geometric sequence, each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.
Given that the second term is 20 and the fourth term is 45/4 or 11.25, we can set up the following equation, where r is the common ratio:
20 * r^2 = 11.25
Solving for r, we get:
r^2 = 11.25 / 20 r^2 = 0.5625
Taking the square root of both sides, we find that r = 0.75.
So, the common ratio in this sequence is 0.75.
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