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UPSC Prelims

Mathematics

Theme:

Sequences and Series / श्रेणी और अनुक्रम

Q13 2020, Sequences and Series

A simple mathematical operation in each number of the sequence 14, 18, 20, 24, 30, 32, ... results in a sequence with respect to prime numbers. Which one of the following is the next number in the sequence?

अनुक्रम 14, 18, 20, 24, 30, 32,... की प्रत्येक संख्या में एक सरल गणितीय संक्रिया द्वारा अभाज्य संख्याओं का एक अनुक्रम प्राप्त किया जाता है। निम्न में से कौन-सी अनुक्रम की अगली संख्या है?

Explanation Please wait..

We can express the numbers as 14 = 13 + 1, 18 = 17 + 1,

20 = 19 + 1, 24 = 23 + 1, 30 = 29 + 1, 32 = 31 + 1

Next prime number after 31 is 37.

So 37 + 1 = 38 is the answer.

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