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Question

Find the next number in the pattern:
144, 121, 100, 81, _____

A
75
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B
65
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C
70
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D
64
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Solution

The correct option is D 64

The sequence follows:
144, 121, 100, 81, ____

144=12×12121=11×11100=10×1081=9×9

We can see that each term of the sequence is the square of a number. It means a number is multiplied by itself.

Also, the number multiplied with itself in the following term is one less than the previous term.

So, the next term in the sequence is the square of 8, which is
8×8=64


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