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even sequence (Posted on 2004-10-20) Difficulty: 3 of 5

find the next 5 numbers in this sequence...

28, 32, 34, 32, 34, 36, 40, 38, 38, 40, 36, 38, 40

See The Solution Submitted by GOM    
Rating: 2.8571 (7 votes)

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Solution Solution To the Problem Comment 6 of 6 |

The nth term of the sequence is given by:
S(n) = T(n) - U(n); where
T(n) = (n+10) th prime, and:
U(n) = (n+1) th prime

So,
S(14) = T(14) - U(14) = 89 - 47= 42
S(15) = T(15) - U(15) =97 - 53 = 44 
S(16) = T(16) - U(16) = 101- 59=42
S(17) = T(17) - U(17) = 103- 61=42 
S(18) = T(18) - U(18) = 107- 67=40

Consequently, the next 5 numbers in this sequence are 42, 44, 42, 42 and 40

Edited on March 18, 2008, 10:57 am
  Posted by K Sengupta on 2007-03-11 12:45:04

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