Select the number from among the given options that can replace the question mark (?) in the following series.
203,178,162,153,?
- A144
- B149
- C151
- D137
Solution & Step-by-step Explanation
Let's find the differences between consecutive terms in the series:
203−178=25
178−162=16
162−153=9
The differences are perfect squares of consecutive decreasing integers:
25=5
2
16=4
2
9=3
2
Following the same logic, the next difference must be 2
2
=4.
Next term=153−4=149
203−178=25
178−162=16
162−153=9
The differences are perfect squares of consecutive decreasing integers:
25=5
2
16=4
2
9=3
2
Following the same logic, the next difference must be 2
2
=4.
Next term=153−4=149