If the 8th term off an A.P. is 31 and the 15th term is 16 more than the 11th term find the A.P.

If the 8th term off an A.P. is 31 and the 15th term is 16 more than th

1.	If the 8th term off an A.P. is 31 and the 15th term is 16 more than the 11th term find the A.P.
Answer» 8th term = a + 7d = 31 ......(i)15 term = a+14d = 16+11th term a+14d = 16 + a + 10d a - a + 14d - 10d = 16 4d = 16 d = 16/4d = 4.......(ii) Putting value of d in eq. (i)a + 7(4) = 31a = 31 - 28 a= 3A.P = 3 , 7 , 11 , 15 .........