Question : Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series.
16, 33, 53, 76, 102, ?
Option 1: 131
Option 2: 135
Option 3: 230
Option 4: 231
Correct Answer: 131
Solution :
Given:
16, 33, 53, 76, 102, ?
Let's calculate the difference between the terms of the series –
33 – 16 = 17; 53 – 33 = 20; 76 – 53 = 23; 102 – 76 = 26
So, 17, 20, 23, 26 are in A.P. with a common difference of 3. The difference between the next term and 102 will be 29.
⇒ ? – 102 = 29
⇒ ? = 29 + 102
⇒ ? = 131
So, the next term of the series is 131. Hence, the first option is correct.
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