Question

If the $3^{\text{rd}}$, $7^{\text{th}}$, $11^{\text{th}}$ terms of a geometric progression are $a$, $b$, $c$ respectively, then $(ac)^{4} =$

• A. $b^{8}$
• B. $b^{6}$
• C. $b^{4}$
• D. $b^{2}$
• E. $b^{12}$

Hint:

Logic Tip: In a G.P., if the indices of three terms form an Arithmetic Progression (like 3, 7, 11 where the difference is 4), the terms themselves form a G.P., meaning the middle term squared equals the product of the extremes: $b^2 = ac$.

Answer 1

The Correct Option is A