144, 121, 100, 81, ?, 49
Identifying the Number Sequence Pattern
The question presents a sequence of numbers: 144, 121, 100, 81, ?, 49. We need to determine the pattern to find the missing number.
Analyzing the Sequence Terms
Let's examine each number in the sequence:
- $144 = 12 \times 12 = 12^2$
- $121 = 11 \times 11 = 11^2$
- $100 = 10 \times 10 = 10^2$
- $81 = 9 \times 9 = 9^2$
- $49 = 7 \times 7 = 7^2$
Determining the Missing Term
The sequence consists of the squares of descending integers ($12^2, 11^2, 10^2, 9^2, \dots, 7^2$). Following this pattern, the integer before 7 is 8.
Therefore, the missing term should be the square of 8:
- $? = 8^2$
- $? = 8 \times 8$
- $? = 64$
The complete sequence is 144, 121, 100, 81, 64, 49.
Conclusion
The number that should come at the place of the question mark is 64.
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