1, 2, 5, 16, 68, 326
Find the wrong number in the given series.
Correct Answer :
68
Solution :
The correct option is 68.
To find the wrong number in the given series: 1, 2, 5, 16, 68, 326, let us analyze the pattern of progression between consecutive terms.
Let the terms of the series be denoted by .
Let's check the relationship between consecutive terms:
The first term is:
To get the second term ():
To get the third term ():
To get the fourth term ():
Following this pattern, the general rule to find the next term is:
Applying this rule to find the fifth term:
However, the fifth term in the given series is 68.
Let us verify if 65 makes the next term correct:
If the fifth term were 65, the sixth term would be:
This matches the sixth term of the series (326) perfectly.
Therefore, the number 68 is incorrect and should be replaced by 65. The wrong number in the series is 68.
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