Question

if the 2nd term of an AP is 13 and the fifth term is 25, what is the 7th term?

Answer 1

Let the 1st term be 'a' nd common difference be 'd'
 now, according to question 
 a+d=13  -------- (i)
 a+4d=25 ------  (ii)
subtracting both (i) nd (ii)
  3d = 12
   d = 4 
from (i) we get,
  a = 9 
 ∴ 7th term 
 a+6d = 9 + 6*4 = 9 + 24 = 33