Directions:
Identify the number that should replace the question mark in the series below.
73, 81, 92, 106, 123, ?
Correct Answer :
143
Solution :
The correct answer is 143.
To find the number that replaces the question mark, let us analyze the pattern by calculating the differences between consecutive terms in the series:
Notice that the differences between consecutive numbers form their own sub-series: 8, 11, 14, 17.
Now, let us find the pattern in these differences (the second-level difference):
The difference increases by 3 at each step. Therefore, the next difference to add to the series is:
Finally, adding this difference of 20 to the last given term (123) gives the missing number:
Hence, the number that should replace the question mark is 143.
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