Question

If 100 times the $100^{\text {th }}$ term of an A.P. with non-zero common difference equals the 50 times its $50^{\text {th }}$ term, then the $150^{\text {th }}$ term of this A.P. is

• A. 150
• B. zero
• C. - 150
• D. 150 times its $50^{\text {th }}$ term

Answer 1

Answer: (B)

Given $100(a+99 d)=50(a+49 d) \Rightarrow a+149 d=0$
and $ T_{150}=a+149 d =0$ (Using (1))