Select the number from among the given options that can replace the question mark (?) in the following series.
4,16,36,64,?
- A96
- B112
- C72
- D100
Solution & Step-by-step Explanation
Let's identify the mathematical nature of the numbers in the series:
4=2
2
16=4
2
36=6
2
64=8
2
The terms are the squares of consecutive even integers (2,4,6,8). Following this AP progression, the next number must be the square of 10:
Missing Number=10
2
=100
4=2
2
16=4
2
36=6
2
64=8
2
The terms are the squares of consecutive even integers (2,4,6,8). Following this AP progression, the next number must be the square of 10:
Missing Number=10
2
=100