Provide an appropriate response.
-Determine the general term of the sequence $11 , \frac { 11 } { 2 } , \frac { 11 } { 4 } , \frac { 11 } { 8 } , \frac { 11 } { 16 } , \ldots$
A) $a _ { n } = 11 \left( \frac { 1 } { 2 } \right) ^ { n }$
B) $a _ { n } = \left( \frac { 11 } { 2 } \right) ^ { n - 1 }$
C) $a _ { n } = 11 + \left( \frac { 1 } { 2 } \right) ^ { n - 1 }$
D) $a _ { n } = 11 \left( \frac { 1 } { 2 } \right) ^ { n - 1 }$

Question

Quizplus · Accepted Answer

The sequence is a geometric sequence with the first term $a_1 = 11$ and common ratio $r = \frac{1}{2}$. The general term of a geometric sequence is given by $a_n = a_1 \cdot r^{n-1}$, which matches option D: $a_n = 11 \left( \frac{1}{2} \right)^{n-1}$.

Provide an Appropriate Response 11,112,114,118,1116,…11 , \frac { 11 } { 2 } , \frac { 11 } { 4 } , \frac { 11 } { 8 } , \frac { 11 } { 16 } , \ldots11,211​,411​,811​,1611​,…

Provide an Appropriate Response $11 , \frac { 11 } { 2 } , \frac { 11 } { 4 } , \frac { 11 } { 8 } , \frac { 11 } { 16 } , \ldots$