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
Which number breaks the pattern?
3, 6, 11, 20, 33, 70
- 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 at the place of question mark? 1, 8, 27, 64, 125, ?, 343
- The series given below contains a sequence of numbers. Accordingly identify the incorrect combination.
5, 9, 27, 31, 94, 97, 292 - Complete the series: 0, 7, 26, 63, ?
- 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 ________- What should come at the place of question mark?
3, 7, 14, 24, 37, ?
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
