Geometric sequences go up due to a common ratio. Here the common ratio can be worked out by dividing a term by its previous term e.g term 2 divided by term 1.

Therefore the common ratio is 6.
5 1/2×2 1/3
5 1/2=11/2
2 1/3=7/3
11/2×7/3=77/6
77/6= 12 5/6
The answer is D.

Step-by-step explanation:
Since we have given that

By using logarithmic on both sides we get,

(∵
)
Now, differentiating on both sides ,we get,


