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.
Similar Questions
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2, 5, 10, 17, 26, ? - What should come at the place of question mark? 1, 8, 27, 64, 125, ?, 343
- What should come in place of the question mark '?' in the following number series?
$45, 40, 50, ?, 55, 30$ - Complete the series.
$25, 36, 49, 64, 81, ?$ - What should come at the place of question mark? : $98, 90, 82, 74, ?, 58$
- What should come in place of the question mark '?' in the following number series?
12, 6, 0, -6, ?, -18 Complete the series.
10, 20, 18, 36, 34,68 ________- 3, 6, 18, 72, 360, ?
- The series given below contains a sequence of numbers. Accordingly identify the incorrect combination.
5, 9, 27, 31, 94, 97, 292 - Find the WRONG number in the given series.
5040, 720, 120, 24, 4, 2
Important Questions from Number Series
What will come in place of question mark (?) in the following number series?
2, 5, 11, 23, 44, 77, ?
What will come in place of question mark (?) in the following number series?
31, 32, 36, ?, 61, 86
What will come in the place of question mark (?) in the following number series?
3, 6, 18, ?, 630, 6930
What should come in place of the question mark ‘?’ in the following number series?
60, 40, 50, ?, 180, 460
A series is given with one term wrong. Select that wrong term from the given alternatives.
J12, M24, P48, S96, U192
