Series

Level pending

4, 6, 12, 18, 30, 42, 60, 72, 102, 108, ?, ?, ? What is the sum of next 3.


The answer is 468.

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1 solution

Vaibhav Prasad
Apr 14, 2015

The series lists numbers that are preceded and followed by two prime numbers.

4 ( 3 and 5 ) 6 ( 5 and 7 ) 12 ( 11 and 13 ) 18 ( 17 and 19 ) 30 ( 29 and 31 ) 42 ( 41 and 43 ) 60 ( 59 and 61 ) 72 ( 71 and 73 ) 102 ( 101 and 103 ) 108 ( 107 and 109 ) 4 (3 \text{ and } 5) \\ 6 (5 \text{ and } 7)\\ 12 (11 \text{ and } 13)\\ 18 (17 \text{ and } 19)\\ 30 (29 \text{ and } 31)\\ 42 (41 \text{ and } 43)\\ 60 (59 \text{ and } 61)\\ 72 (71 \text{ and } 73)\\ 102 (101 \text{ and } 103)\\ 108 (107 \text{ and } 109)

Thus, the next three terms are

138 ( 137 and 139 ) 150 ( 149 and 151 ) 180 ( 179 and 181 ) 138 (137 \text{ and } 139) \\ 150 (149 \text{ and } 151)\\ 180 (179 \text{ and } 181)

Hence, the sum = 468 \boxed {468}

Overrated - - I solved this for 200 points - -

Mehul Arora - 6 years, 2 months ago

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May be the question is easy and the people are lazy

Vaibhav Prasad - 6 years, 2 months ago

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Nice poem! xD

Mehul Arora - 6 years, 2 months ago

C O R R E C T ! CORRECT! ¨ \ddot\smile

Nihar Mahajan - 6 years, 2 months ago

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