find the common ratio of geometric progression ¼ ½ 1–2
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for ¼ ½ 1 , common ratio is clearly 2
for ¼ ½ 1–2, it no longer makes sense, there is no common ratio
To find the common ratio of a geometric progression, we divide any term in the progression by its preceding term. Let's follow this process for the given progression:
Taking the second term, 1/2, and dividing it by the first term, 1/4:
(1/2) / (1/4) = (1/2) * (4/1) = 2
Hence, the common ratio of the geometric progression 1/4, 1/2, 1, -2 is 2.