169, 196, 225, 256, ?
Identify the Number Series Pattern
The given number series is 169, 196, 225, 256, ?.
Let's examine the relationship between the numbers in the series:
- The first number is $169 = 13 \times 13 = 13^2$.
- The second number is $196 = 14 \times 14 = 14^2$.
- The third number is $225 = 15 \times 15 = 15^2$.
- The fourth number is $256 = 16 \times 16 = 16^2$.
The pattern observed is that each number in the series is the square of consecutive integers, starting from 13.
Calculate the Missing Number
Following the established pattern, the next integer after 16 is 17.
Therefore, the missing number is the square of 17.
Calculation: $17^2 = 17 \times 17 = 289$.
The missing number in the series is 289.
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