Question

Which of the following represents a geometric sequence?

Answer 1

Answer:

Option 1 is a geometric sequence.

I 1/4, 1/4, 1/4, 1/4

II      1/4, 1/5, 1/6

III     1/4, 1, -4, 1/6

IV     1/4, -4, 1/4, -4

For any geometric sequence there should be a common ratio

To find common ratio we divide consecutive terms

lets check option I

I 1/4, 1/4, 1/4, 1/4

When we divide 1/4 by 1/4 we will get 1

Same 1 for other two terms, so common ratio is 1

Hence the first option is a geometric sequence

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