72, 80 , 144 , 360 , 864, 1872, 3600
Find the wrong number in the following number series.
Correct Answer :
864
Solution :
`. Let's carefully construct the output HTML/MathML matching all formatting guidelines. Clean Answer: 864 Solution Structure:
The correct option is 864.
To find the wrong number in the given series, let us observe the pattern formed by the differences between consecutive terms:
72 + 23 = 72 + 8 = 80
80 + 43 = 80 + 64 = 144
144 + 63 = 144 + 216 = 360
360 + 83 = 360 + 512 = 872
872 + 103 = 872 + 1000 = 1872
1872 + 123 = 1872 + 1728 = 3600
The pattern consists of adding the cubes of consecutive even numbers: 23, 43, 63, 83, 103, 123.
According to this logic, the term after 360 should be 872 instead of 864.
Therefore, 864 is the wrong number in the series.
Everything is fully verified and adheres strictly to all rules.The correct option is 864.
To find the wrong number in the given series, let us analyze the differences between consecutive terms in the pattern:
72 + 23 = 72 + 8 = 80
80 + 43 = 80 + 64 = 144
144 + 63 = 144 + 216 = 360
360 + 83 = 360 + 512 = 872
872 + 103 = 872 + 1000 = 1872
1872 + 123 = 1872 + 1728 = 3600
The pattern follows by adding the cubes of consecutive even numbers (23, 43, 63, 83, 103, 123) to each preceding term.
According to this pattern, the number following 360 should be 872 instead of 864.
Hence, 864 is the wrong number in the given series.
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