A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.
144,256,400,?
- A441
- B576
- C625
- D$289
Solution & Step-by-step Explanation
Let's rewrite the numbers as squares of integers:
144=12
2
256=16
2
400=20
2
The base numbers are 12,16,20, which form an arithmetic progression with a common difference of +4:
12+4=16
16+4=20
Following this logic, the next base number should be:
20+4=24
The missing term is the square of 24:
24
2
=576
144=12
2
256=16
2
400=20
2
The base numbers are 12,16,20, which form an arithmetic progression with a common difference of +4:
12+4=16
16+4=20
Following this logic, the next base number should be:
20+4=24
The missing term is the square of 24:
24
2
=576