$25, 36, 49, 64, 81, ?$
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
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Important Questions from Number Series
Select the number from among the given options that can replace the question mark (?) in the following series.
37, 52, 74, 104, 143, ?
Select the number that can replace the question mark (?) in the following series.
17, 19, 22, 27, 34, 45, 58,?Select the number from among the given options that can replace the question mark (?) in the following series.
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Select the number from among the given options that can replace the question mark (?) in the following series.
215, 231, 256, 292, ?
Select the number from among the given options that can replace the question mark (?) in the following series.
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