100, 81, 64, 49, ?, 25
Sequence Pattern Identification
The sequence provided is 100, 81, 64, 49, ?, 25. The task is to find the number that replaces the question mark.
Analyzing the Number Sequence
Observe the relationship between the consecutive terms:
- 100 is the square of 10 ($10^2$)
- 81 is the square of 9 ($9^2$)
- 64 is the square of 8 ($8^2$)
- 49 is the square of 7 ($7^2$)
- 25 is the square of 5 ($5^2$)
The pattern reveals that the sequence consists of perfect squares of decreasing integers, starting from 10.
Determining the Missing Term
The sequence of bases for the squares is 10, 9, 8, 7, ... , 5.
The missing base in this descending sequence is 6.
Therefore, the missing term in the sequence is the square of 6:
Missing Term = $6^2 = 6 \times 6 = 36$.
The sequence is $10^2, 9^2, 8^2, 7^2, 6^2, 5^2$.
Final Answer
The number 36 correctly fits the pattern of perfect squares in the descending sequence.
Similar Questions
- Find the WRONG number in the given series.
5040, 720, 120, 24, 4, 2 - Complete the series: 0, 7, 26, 63, ?
- In the following question, select the missing number from the given series.
169, 196, 225, 256, ? - What is the next number in the series?
1, 3, 9, 27, ___ - Complete the series.
7, 14, 12, 24, 22, ? - What should come at the place of question mark? 1, 8, 27, 64, 125, ?, 343
- What comes next: 10, 17, 26, 37, 50, ?
- What should come at the place of question mark?
2, 5, 10, 17, 26, ? - In the following number series, a wrong number is given. Find out the WRONG number.
1, 4, 16, 64, 324 - What comes next: 0, 1, 1, 2, 3, 5, 8, 13, ?, ?
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
