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ioda
3 years ago
7

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
Mathematics
2 answers:
LenaWriter [7]3 years ago
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]3 years ago
6 0

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


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Option D <em>The pattern is multiplicative because the earnings are 12 times the number of hours worked in each pair of values </em>is correct option.

Step-by-step explanation:

At x-axis we have number of hours worked and y-axis represents earnings in dollars.

We can make the table:

Number of hours worked (x)         earnings in dollars (y)

1                                                                12

2                                                               24

3                                                               36  

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5                                                                60

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