If the 3rd and the 9th terms of an AP are 4 and -8 respectively, which term of this AP is zero

If the 3rd and the 9th terms of an AP are 4 and -8 respectively, which

1.	If the 3rd and the 9th terms of an AP are 4 and -8 respectively, which term of this AP is zero
Answer» Given, a3 =4 and a9 = -8 a3 = a+2d = 4--------equation 1 a9 = a+8d = -8--------equation 2Subtracting equation 1 and 2We get, d = -2-------------equation 3Putting equation 3 in equation 1 a+2d = 4 a+2(-2) =4 a+4 =4 a= 4+4 a=8Now,a1 =8a2 =a+d =8+(-2) = 6a3 =a+2d=8+2 (-2) =4a4 =a+3d=8+3 (-2) =2a5 =a+4d=8+4 (-2) =0Hence the 5th term of an AP is 0 5 th term is zero