If in an AP 16th term is zero then show that 33rd term if 3 times of i

1.	If in an AP 16th term is zero then show that 33rd term if 3 times of its 15th term.
Answer» 6=0a+5d=0a=-5d----(i)now33rd term=a+32dputting the value of a from equation (i) we gett33=-5d+32d=27d----(ii)now,t15=a+14d=-5d+14d=9d-----(iii)from equation (ii) and (iii)3(t15)=(t33)proved.

Discussion