Question

Which is not a geometric progression 4,8,16,32. 3,6,9,12. 2,618,54. 1,5,12,125

Answer 1

Answer:

see explanation

Step-by-step explanation:

A geometric progression has a common ratio r between consecutive terms

That is each term in the sequence is obtained by multiplying the previous term by r

Consider 4, 8, 16, 32

4 × 2 = 8

8 × 2 = 16

16 × 2 = 32

This is a geometric progression with r = 2

Consider 3, 6, 9, 12

3 × 2 = 6

6 × 2 = 12 ≠ 9

This is not a geometric progression

Consider 2, 6, 18, 54

2 × 3 = 6

6 × 3 = 18

18 × 3 = 54

This is a geometric progression with r = 3

Consider 1, 5, 12, 125

1 × 5 = 5

5 × 5 = 25 ≠ 12

This is not a geometric progression