Choose the one alternative that best completes the statement or answers the question.
-$$a _ { 1 } = \sqrt { 6 } ; a _ { n } = \sqrt { 6 a _ { n - 1 } }$$
A) $\sqrt { 6 } , 6,6 \sqrt { 6 } , 36$
B) $\sqrt { 6 } , \sqrt { \sqrt { 6 } } , \sqrt { \sqrt { \sqrt { 6 } } } , \sqrt { \sqrt { \sqrt { \sqrt { 6 } } } }$
C) $\sqrt { 6 } , 6 \sqrt { 6 } , 36 \sqrt { 6 } , 216 \sqrt { 6 }$
D) $\sqrt { 6 } , \sqrt { 6 \sqrt { 6 } } , \sqrt { 6 \sqrt { 6 \sqrt { 6 } } } , \sqrt { 6 \sqrt { 6 \sqrt { 6 \sqrt { 6 } } } }$

Question

Quizplus · Accepted Answer

The given sequence is defined recursively, with each term being the square root of 6 times the previous term. This pattern matches option D, where each term is constructed by taking the square root of 6 times the previous term, leading to nested square roots.

Choose the One Alternative That Best Completes the Statement or Answers