Which of the following represents 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

option I is a geometric sequence

Step-by-step explanation:

I1/4, 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

I1/4, 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 first option is a geometric sequence

if you mean

then it's c. 8, -7/3

but if you mean

then it is