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.
1, 5, 21, 57, ?, 221
Option 1: 96
Option 2: 108
Option 3: 121
Option 4: 126
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Correct Answer: 121
Solution :
Given:
1, 5, 21, 57, ?, 221
Add the square of the consecutive even numbers to the previous term to obtain the next term.
1 + 2
2
= 5, 5 + 4
2
= 21, 21 + 6
2
= 57, 57 + 8
2
= 121, 121 + 10
2
= 221
So, 121 is the missing term in the given series. Hence, the third option is correct.
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