Question

If 100 times the 100th term of an A.P. with non-zero common difference equals the 50 times its 50th term. Then 150th term of thus A.P. is

• A. -150
• B. 150 times the 50th term
• C. 150
• D. 0

Answer 1

The correct option is D 0

$100(a+99d)=50(a+49d)$
$\Rightarrow$ 2a + 198 d=a+49d
$a+149d=0$
$\therefore T_{150}=a+149=0$