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 Math Help −> Puzzles −> AD 2004 state championship logic quiz −> Question 09 −> Answer 

Academic Decathlon 2004 State Championship Logic Quiz

Question 09

What are the next two numbers in this sequence?

 2   6  15 28 55 78 119 ____ ____

 

Answer:

152, 207

The nth number in the sequence is n multiplied by the nth prime.

1 x 2 = 2
2 x 3 = 6
3 x 5 = 15
4 x 7 = 28
5 x 11 = 55
6 x 13 = 78
7 x 17 = 119
8 x 19 = 152
9 x 23 = 207

If you have access to the Internet, you can often find the pattern in an integer sequence by looking it up on the Sloan website.  This particular sequence is called n*(n-th prime), sequence number A033286.

 

Related pages in this website

See the NEXT puzzle in the Academic Decathlon 2004 Logic Quiz

 

 

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