Q. What is the next number of the following sequence
2, 6, 5, 14, 11, 26, 17, ?

• odd places are prime numbers, even places are prime number is multiplied by 2.
  prime numbers -- 2,3,5,7,11,13,17,19
  the series 2,3*2,5,7*2,11,13*2,17,19*2
  answer is 38
• 11 years agoHelpfull: Yes(42) No(2)
• take diff between consecutive numbers as follows
  2 6 5 14 11 26 17 ?
  -4 1 -9 3 -15 9 a
  now consider alternate differences
  -4 -9 -15 a
  5 6 b
  from the above series we can say b=7
  if b=7 then a=-22
  so the missing number is 17+22=39
  
• 11 years agoHelpfull: Yes(5) No(7)
• 2+3=5 5+6=11 11+6=17
  6+8=14 14+12=26 26+12=38
• 11 years agoHelpfull: Yes(2) No(2)
• 38
  
  2,2*3,5,2*7,11,2*13,17,2*19
• 11 years agoHelpfull: Yes(2) No(0)
• 2,6,5,14,11,26,17,
  2+4(2^2)=6 5+9(3^2)=14 11+25(5^2)=26 same way by adding square of consecutive prime number i.e., 17+49(7^2)=66
• 11 years agoHelpfull: Yes(2) No(3)
• 2,5,11,17,are prime numbers
  6*2=12+2=14
  14*2=28-2=26
  26*2=56+258
• 11 years agoHelpfull: Yes(0) No(3)
• 39 is correct answer
  
• 8 years agoHelpfull: Yes(0) No(0)
• Prime numbers -->2,3,5,7,11,13,17,19,23...
  Leaving alternate prime numbers-->2,5,11,17,23
  In between numbers are 6,14,16
  6 to 14 the difference is 8
  14 to 26 the difference is 12
  26 to ? The difference should be 12
  So, 26+16=42 so the answer is 42
  2,6,5,14,11,26,17,42,23...........
• 7 years agoHelpfull: Yes(0) No(0)