Question

The geometric series 3,6,12,24,48 has common ratio, r as
A) 1
B) 2
C) 3
4) 4

Answer 1

Hint: Here, in this given question, we must first of all know what the common ratio of a geometric progression is and how do we find it from a given geometric progression. The common ratio is equal for any two successive terms of a geometric progression. We can find it by dividing a term by its previous term.
Complete step-by-step answer:
In this given question, we are given a geometric series/ progression as 3,6,12,24,48 and we are asked to find out its common ratio.
A geometric series is a series with a constant ratio between its successive terms.
The common ratio is defined as the ratio of a term with its previous term.
Here, the geometric series is given as 3,6,12,24,48.
So, we can find out the common ratio as
     \[6:3=12:6=24:12=48:24=2:1\].
Hence, we find the common ration as 2.
Therefore, the correct option to this given question as answer is option (B) 2.

Note: In this type of question, as the common difference is common for all successive terms, we can take any two successive terms and find the common ratio instead of calculating the ratio of all the successive terms. However, we may calculate the common ratio for two pairs of successive terms in order to verify and check our answer.