This problem gives some information about a specific geometric progression. .

Question

This problem gives some information about a specific geometric progression.  .

Quizplus · Accepted Answer

The given information in the problem is a geometric progression. By simplifying the given terms we have: first term = $a$, common ratio = $r$ and the product of all terms $= ar^3 \cdot \sqrt{2}$. We are given $ar = 18$ and $ar^2 = 36$. Solving these two equations simultaneously we get $a = 2$ and $r = 3$. Hence, the product of all terms is $54\sqrt{2}$. Now, we can substitute $a$ and $r$ in the options and check which one gives the same product value. Only option C gives the same product value, so it is the answer.

This Problem Gives Some Information About a Specific Geometric Progression