The 5th term of AP is 15 and the 9th term is 23. Find the 14th term.

A- 27
B- 37
C- 35
D- 33

• D- 33
  tn = a + (n-1)*d
  
  a + 4d = 15
  
  a + 8d = 23
  
  solving, a = 7, d = 2
  
  t14 = a + 13d = 7+ 2*13 = 33
• 9 years agoHelpfull: Yes(5) No(0)
• nth=a+(n-1)d
  15=a+(5-1)d=a+4d-------equ1
  23=a+(9-1)d=a+8d--------equ2
  by solving equ1and 2
  we get a=7and d=2
  14th term=a+(14-1)d
  =7+13*2
  =7+26
  =33
• 9 years agoHelpfull: Yes(0) No(0)
• 33 is the answer
• 9 years agoHelpfull: Yes(0) No(0)
• 5th-9th=4th,,
  15-23=8(double of 4th)
  9th-14th=5th
  23-x=10(double of 5) or 23-33=10
  so,x=33 (neglecting negative)
• 9 years agoHelpfull: Yes(0) No(0)
• Answer: 33
• 9 years agoHelpfull: Yes(0) No(0)
• nth=a+(n-1)d
  15=a+(5-1)d=a+4d-------equ1
  23=a+(9-1)d=a+8d--------equ2
  by solving equ1and 2
  we get a=7and d=2
  14th term=a+(14-1)d
  =7+13*2
  =7+26
  =33
• 8 years agoHelpfull: Yes(0) No(0)