2 Answers

Luca Thiede · Answer 1 · 2021-08-09T01:05:33+0000

Option C

-3, 3 -3, 3,-3 ,3 is a geometric sequence

Solution:

Given that, we have to find the geometric sequence

A geometric sequence is a sequence in which the ratio of any term to the previous term is constant

Option A

0, -3, -6, -9, -12 ,-15,

Find the common ratio

$r = (-3)/(0)\\\\r = (-6)/(-3) = 2$

Thus common ratio is not constant

Therefore, this is not a geometric sequence

Option B

-2, 0, 2, 4, 6,

Find the common ratio

$r = (0)/(-2) = 0\\\\r = (2)/(0)$

Thus common ratio is not constant

Therefore, this is not a geometric sequence

Option C

-3, 3 -3, 3,-3 ,3

Find the common ratio

$r = (3)/(-3) = -1\\\\r = (-3)/(3) = -1\\\\r = (3)/(-3) = -1\\\\r = (-3)/(3) = -1$

Thus common ratio is constant

Therefore, it is a geometric sequence

Option D

5, 7, 9, 11 ,13

Find the common ratio

$r = (7)/(5) = 1.4\\\\r = (9)/(7) = 1.28\\\\r = (11)/(9) = 1.22$

Thus common ratio is not constant

Therefore, this is not a geometric sequence

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