$25, 36, 49, 64, 81, ?$
Series Pattern Identification
The given series is 25, 36, 49, 64, 81, ?. We need to find the pattern governing this sequence.
- Observe the numbers in the series: 25, 36, 49, 64, 81.
- Recognize that each number is a perfect square:
- $25 = 5^2$
- $36 = 6^2$
- $49 = 7^2$
- $64 = 8^2$
- $81 = 9^2$
- The series consists of the squares of consecutive integers starting from 5.
Calculating the Next Term
Following the established pattern, the next integer after 9 is 10.
Therefore, the next term in the series is the square of 10:
$10^2 = 100$
The completed series is 25, 36, 49, 64, 81, 100.
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?
$45, 40, 50, ?, 55, 30$ - 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 ________- If
2 = 12
3 = 36
4 = 80
5 = 150
6 = 252
7 = 392
Then 8 = ? - In the following number series, a wrong number is given. Find out the WRONG number.
1, 4, 16, 64, 324
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
