Which of the following numbers will replace the question mark (?) in the given series?
168,191,218,249,284,?
- A333
- B323
- C319
- D329
Solution & Step-by-step Explanation
Let's find the difference between consecutive numbers in the series:
191−168=23
218−191=27
249−218=31
284−249=35
Now, let's look at the pattern among these first-level differences:
23
+4
27
+4
31
+4
35
The differences increase by +4 each time (double difference pattern). Following this rule, the next difference must be:
35+4=39
Therefore, the missing number in the series is:
284+39=323
191−168=23
218−191=27
249−218=31
284−249=35
Now, let's look at the pattern among these first-level differences:
23
+4
27
+4
31
+4
35
The differences increase by +4 each time (double difference pattern). Following this rule, the next difference must be:
35+4=39
Therefore, the missing number in the series is:
284+39=323