Determine whether the sequence 1,1/2,1/3,1/4,... is geometric and if it is, what is the common ratio

Alice Chen

Alice Chen

Answered question

2022-11-13

Determine whether the sequence 1 , 1 2 , 1 3 , 1 4 , ... is geometric and if it is, what is the common ratio

Answer & Explanation

Kailee Abbott

Kailee Abbott

Beginner2022-11-14Added 14 answers

Examine to see if there's a common ratio:
1 2 1 = 1 2
1 3 1 2 = 2 3
1 4 1 3 = 3 4
The ratio between successive terms is not common, so this is not a geometric sequence.
It is a harmonic sequence - the reciprocals of successive terms being in arithmetic progression.

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