Question

The $3^{\text{rd}}$ and $6^{\text{th}}$ terms of a G.P. are, respectively 108 and -32. Then the first term is

• A. -81
• B. -243
• C. 243
• D. 81
• E. 27

Hint:

Logic Tip: In a G.P., dividing an advanced term by an earlier term (like $a_6 / a_3$) will always yield $r^k$, where $k$ is the difference in their positions ($6 - 3 = 3$). This immediately isolates the ratio.

Answer 1

The Correct Option is C