Question : Directions: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
198, 202, 211, 227, ?
Option 1: 236
Option 2: 252
Option 3: 275
Option 4: 245
Correct Answer: 252
Solution :
Given:
198, 202, 211, 227, ?
Add the square of the consecutive natural numbers in the previous term to obtain the next term –
198 + 2
2
= 198 + 4 = 202;
202 + 3
2
= 202 + 9 = 211;
211 + 4
2
= 211 + 16 = 227;
227 + 5
2
= 227 + 25 = 252
So, 252 is the missing number in the given series. Hence, the second option is correct.
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