Q. What is the next number of the following sequence
7, 9, 14, 24....

• 7, 9, 14, 24 , x
  9=7+(1^2+1)
  14=9+(2^2+1)
  24=14+(3^2+1)
  x=24+(4^2+1)=24+17=41
• 10 years agoHelpfull: Yes(4) No(1)
• difference of consecutive terms
  9-7=2
  14-9=5
  24-14=10
  2*5=10
  10*5=50
  so, 24+50=74
• 10 years agoHelpfull: Yes(1) No(2)
• 41
  9-7=2=1^2+1
  14-9=5=2^2+1
  24-14=10=3^2+1
  41-24=17=4^2+1
• 10 years agoHelpfull: Yes(1) No(0)
• Difference between two consecutive numbers are:
  2, 5,10
  which can be understood as
  1*1+1=2
  2*2+1=5
  3*3+1=10
  so we can get next term by adding
  4*4+1=17 with the last term
  so ans will be 24+17=41
• 10 years agoHelpfull: Yes(1) No(0)
• 7+1x1+1=9
  9+2x2+1=14
  14+3x3+1=24
  24+4x4+1=41
  so, it is: 7,9,14,24,41,67....
• 9 years agoHelpfull: Yes(0) No(0)