the sum of 2nd and 19th term of A.P. is equal to the sum of 8th , 15th and 12 th term . find the term which is 0

• t2 + t19 = t8 + t15 + t12
  
  => a+d + a+18d = a+7d + a+14d + a+11d
  
  => a + 13d = 0
  
  => t14 = 0 i.e. 14th term is zero.
• 9 years agoHelpfull: Yes(33) No(3)
• ans>14
  A2=a+d
  A19=a+18d
  A8=a+7d
  A15=a+14d
  A12=a+11d
  A2+A19=A8+A15+A12
  =>2a+19d=3a+32d
  =>a+13d=0
  
  so
  n-1=13
  n=14
  
  
• 9 years agoHelpfull: Yes(1) No(0)
• (a+d)+(a+18d)=(a+7d)+(a+14d)+(a+11d)
  
  ===> 2a+19d=3a+32d
  ===> a+13d
  so (a+13d) is 14 term in A.P
• 9 years agoHelpfull: Yes(1) No(0)
• i want options
• 6 years agoHelpfull: Yes(0) No(0)
• Tn = a + (n - 1) d,
  t2 + t19 = t8 + t15 + t12
  
  => a+d + a+18d = a+7d + a+14d + a+11d
  
  => a + 13d = 0
  
  => t14 = 0 i.e. 14th term is zero
• 5 years agoHelpfull: Yes(0) No(0)