Find the next number in the given pattern.
144, 121, 100, 81, _____
A
75
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B
70
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C
64
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D
65
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Solution
The correct option is C 64 The sequence is:
144, 121, 100, 81, ____
144 = 12 × 12
121 = 11 × 11
100 = 10 × 10
81 = 9 × 9
We can see that each term of the pattern is the square of a number. This means that a number is multiplied by itself to get the next number in the pattern.
As we go from left to right in the pattern, the number that is multiplied by itself keeps decreasing by 1.
So, the next term in the pattern is the square of 8, which is 8 × 8 = 64.