Question

If 19^th term of a non-zero arithmetic progression (AP) is zero, then its (49^th term) : (29^th term) is

Options

• 2 : 1

• 4 : 1

• 1 : 3

• 3 : 1

Answer 1

3 : 1

Explanation:

Given a₁₉ = 0 ⇒ a + 18 d = 0 ⇒ a = – 18 d

Now `a_49/a_29 = (a + 48 d)/(a + 28 d) = (- 18d + 48d)/(- 18d + 28d) = (30d)/(10d)` = 3 : 1