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/

Question

3 years ago

7

4, -4

2 answers:

LenaWriter [7] · Answer 1 · 2022-03-12T07:30:58+03:00

7 0

I'm pretty sure it would be none of these because1/4*5=1 and 1/4 then it would be 6 and 1/4 then it would be 31 and 1/4

Vera_Pavlovna [14] · Answer 2 · 2022-03-12T09:38:41+03:00

Answer:

option I is a geometric sequence

Step-by-step explanation:

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 first option is a geometric sequence