What will come in the place of question (?) mark in the following number series.
40, 66, 116, 198, 320, ?
Correct Answer :
490
Solution :
The correct option is 490.
To find the missing number in the given series, let us analyze the pattern by calculating the differences between consecutive terms.
The given number series is:
40, 66, 116, 198, 320, ?
Step 1: Calculate the first-level differences between consecutive terms:
Step 2: Calculate the second-level differences (the differences between the first-level differences):
Step 3: Determine the pattern in the second-level differences:
Notice that the second-level differences increase consistently by 8:
Step 4: Calculate the missing term:
The next second-level difference will be:
Adding 48 to the last first-level difference (122) gives the next difference to be added:
Finally, add 170 to the last term of the series (320) to find the missing term:
Therefore, the number that replaces the question mark (?) is 490.
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