<p>If 19th term of a non-zero A.P. is zero, then its (49th term) : (29th term) is</p>
Step-by-Step Solution
Key Concept: Use the general term formula aₙ = a + (n-1)d. Since a₁₉ = 0, express a in terms of d, then find the ratio of a₄₉ to a₂₉ directly.
<p><strong>Step 1:</strong> Use the general term formula: aₙ = a + (n-1)d</p><p><strong>Step 2:</strong> Given that a₁₉ = 0, so a + 18d = 0, which gives us a = -18d</p><p><strong>Step 3:</strong> Find a₄₉ = a + 48d = -18d + 48d = 30d</p><p><strong>Step 4:</strong> Find a₂₉ = a + 28d = -18d + 28d = 10d</p><p><strong>Step 5:</strong> Calculate the ratio: a₄₉/a₂₉ = 30d/10d = 3/1</p><p>∴ Answer: <strong>3:1</strong></p>
Correct Answer: D