Correct option is D
Given:
3,18,63,198,603,?
Let's look at the differences between consecutive terms:
18−3=15
63−18=45
198−63=135
603−198=405
So, the differences between consecutive terms are:
15,45,135,405
Let's analyze the pattern in the differences:
45=15×3
135=45×3
405=135×3
It looks like each difference is multiplied by 3.
Predicting the next difference:
The next difference will be:
405×3=1215
Finding the next term:
Now, add 1215 to the last term (603):
603+1215=1818
Thus, the number that replaces the question mark is 1818.
Thus, correct option is (d).