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Which sequences are geometric sequences?
Check all that apply.

4, 2, 1, 1/2,1/4,...
−2, 3, −4, 5, −6, …
2, 6, 18, 54, 162, …
−4, −16, −64, −256, …
−2, −4, −12, −48, −240, …

Respuesta :

1.) 4, 2, 1, 1/2, 1/4,... 2.)2, 6, 18, 54, 162, ...
3.) -4, -16, -64, -256, ... are geometric sequences because common ratio is same. Example: 1.) ratio of 1st and 2nd term is 1/2. Similarly ratio of 3rd and 4th term is 1/2 and so on.
iiMGii
ANSWER:

4, 2, 1 , 1 / 2, 1 / 4 ... Common Ratio = 1 / 2

2, 6, 18, 54, 162 ... Common Ratio = 3

- 4, - 16, - 64, - 256 ... Common Ratio = 4

As these sequences have common ratios which remain the same across the whole sequence, they are geometric sequences.

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