What is the common ratio between successive terms in the sequence? 27, 9, 3, 1, one-third, one-ninth, startfraction 1 over 27 endfraction, –3 – 3

One third.

Step-by-step explanation:

Common ratio = 9/27 = 1/3

3/9 = 1/3

1/3 = -/3.

Step-by-step explanation:

The given sequence is

This sequences comprehend a geometric sequence, because it's obtained by dividing each element by 3, as follows

Therefore, the reason is , which consists in dividing each term by 3, it's the same if we multiply each term by .

So, the right choice is the first option, one-third.

6^2 or 36

step-by-step explanation:

6000n

6×1000n

6×10^3 n

so we need 6n need to be a perfect cube

so n has to be 6^2 so that 6n is 6^3

what i'm saying is if you let n be 6^2 you have 6^3×10^3 or 60^3 which is a perfect cube