Question

Find the common ratio of GP.
0.11,0.22,0.44,..........
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Answer 1

Answer:

For common ratio,

0.22/0.11 = 2

0.44/0.22 = 2

Hence, Common ratio is 2.

Answer 2

Hello !!

For you find the common ratio of a geometric sequence, you can make use of this formula.

$\mathsf{r=\sqrt[(n-k)]{\left(\dfrac{A_{n}}{A_{k}}\right)}}$

Now, you put the informations of the statement in the formula and find the common ratio.

$\mathsf{r=\sqrt[(n-k)]{\left(\dfrac{A_{n}}{A_{k}}\right)}} \\\\\\ \mathsf{r=\sqrt[(2-1)]{\left(\dfrac{0.22}{0.11}\right)}} \\\\\\ \mathsf{r=\left(\dfrac{0.22}{0.11}\right)} \\\\\\ \mathsf{r=2}$

Final result :

The common ratio is 2.

I hope I have collaborated !