sum of first 11 terms is x. sum of first 6 terms is y. sum of last 6 terms is z.

What is the 6th term?

• y+z-x ans
  bcoz 1 to 11=x , 1to 6 = y , 6to 11 =z
  if
  1 to 6 + 6 to 11 =y+z
  than 1 to 11 = y+z-6th term
  x= y+z-6th
  6th = y+z-x
  
• 10 years agoHelpfull: Yes(28) No(3)
• (x-z-y)?
  X is sum of 11 thus x-z=y-6th term
  and x-y=z-6th term
  so 6th term=x-y-z
• 10 years agoHelpfull: Yes(9) No(8)
• x-z=y-6th term
  so
  6th term=z+y-x
• 10 years agoHelpfull: Yes(7) No(0)
• sum of eleven nos/11=x(average)
  sum of eleven nos=11x
  similarly,
  sum of first 6 nos=6y
  sum of last 6 n0s=6z
  6y+6z=sum of eleven nos+6th no(since 6th no is added twice)
  6y+6z=11x+6th no
  ANS:6th no=6y+6z-11x
• 10 years agoHelpfull: Yes(5) No(4)
• ans -(x-y-z)
  becoz 6th term 2 times present in y & z
  so 2 times we minus 6th term from x
  so ans returned in minus
• 10 years agoHelpfull: Yes(3) No(2)
• y+z-x
  bcoz 1 to 11=x , 1to 6 = y , 6to 11 =z
  if
  1 to 6 + 6 to 11 =y+z
  than 1 to 11 = y+z-6th term
  x= y+z-6th
  6th = y+z-x
  
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• 10 years agoHelpfull: Yes(3) No(0)
• if the question is with average not sum then....
  First 1-11=x sum=11x
  first 1-6=y sum=6y
  last 6-11=z sum=6z
  first 1-6+last 6-11 =6(y+z)
  but in this the value of 6th term twice. so
  6th term is 11x-(6y+6z)
• 10 years agoHelpfull: Yes(1) No(0)
• sum of first 6 terms a/6=Y=>a=6y
  sum of last 6 terms b/6=z=>b=6z
  sum of first 11 terms c/11=x=>c=11x
  sum of 6 th term is 6y+6z-11x
  
• 10 years agoHelpfull: Yes(1) No(0)
• bhanu prakash please specify it is AP GP or HP
• 10 years agoHelpfull: Yes(0) No(1)
• sorry question is average of first 11 terms is x.average of first 6 terms is y. average of last 6 terms is y.(not sum it is average)
• 10 years agoHelpfull: Yes(0) No(1)
• ans: y+z-x
• 10 years agoHelpfull: Yes(0) No(0)
• ans : z-x+y
• 10 years agoHelpfull: Yes(0) No(0)
• s11=2a+(11-1)d=x
  s6=2a+(6-1)d=y
  solving both equations
  we get a=(2y-x)/2;d=(x-y)/5
  t6=a+(6-1)d
  t6=x/2
• 10 years agoHelpfull: Yes(0) No(0)
• 6th term= y+z-x;
• 9 years agoHelpfull: Yes(0) No(0)
• It will be y+z-x
• 9 years agoHelpfull: Yes(0) No(0)