Stupid sequence #2

Level pending

Find the sum of the next 2 2 numbers in the series 2 , 3 , 3 , 5 , 5 , 4 , 7 , 5 , 11 , 6 , ? , ? 2, 3, 3, 5, 5, 4, 7, 5, 11, 6, ?, ?

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The answer is 21.

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1 solution

Mehul Arora
Sep 22, 2015

It's an alternate pattern. The first pattern goes like this

2 , 3 , 5 , 7 , 11 , ? 2,3,5,7,11,? This is clear that it's a series of prime numbers. The next number is 13.

The second pattern goes like

3 , 5 , 4 , 5 , 6 , ? 3,5,4,5,6,? This is the one to crack. This is the number of letters in the preceding prime number. thus the next number is the number of letters in THIRTEEN=8

n = 1 1 8 + n = 1 1 13 = 21 \sum _{ n=1 }^{ 1 }{ 8 } +\quad \sum _{ n=1 }^{ 1 }{ 13 } =\quad 21

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