Which of the following numbers will replace the question mark (?) in the given series?
165,192,227,270,321,?
- A347
- B361
- C380
- D392
Solution & Step-by-step Explanation
Let's calculate the differences between consecutive numbers in the series:
192−165=27
227−192=35
270−227=43
321−270=51
Now, let's analyze the sequence of these first-level differences (27,35,43,51):
35−27=8
43−35=8
51−43=8
The first-level differences increase by a constant value of +8 (double difference series).
Following this rule, the next first-level difference will be:
51+8=59
Thus, the missing number in the series is:
Missing number=321+59=380
192−165=27
227−192=35
270−227=43
321−270=51
Now, let's analyze the sequence of these first-level differences (27,35,43,51):
35−27=8
43−35=8
51−43=8
The first-level differences increase by a constant value of +8 (double difference series).
Following this rule, the next first-level difference will be:
51+8=59
Thus, the missing number in the series is:
Missing number=321+59=380