Find the requested term in the sequence.
-The 15 th term in $6,18,54,18 \cdot 3 ^ { 2 } , 18 \cdot 3 ^ { 3 } , \ldots$
A) $18 \cdot 3 ^ { 15 }$
B) $18 \cdot 3 ^ { 17 }$
C) $18 \cdot 3 ^ { 13 }$
D) $18 \cdot 3 ^ { 14 }$

Question

Quizplus · Accepted Answer

The sequence is geometric with the first term as 6 and a common ratio of 3. The nth term is given by $6 \cdot 3^{n-1}$. For the 15th term, it is $6 \cdot 3^{14} = 18 \cdot 3^{13}$.

Find the Requested Term in the Sequence 6,18,54,18⋅32,18⋅33,…6,18,54,18 \cdot 3 ^ { 2 } , 18 \cdot 3 ^ { 3 } , \ldots6,18,54,18⋅32,18⋅33,…

Find the Requested Term in the Sequence $6,18,54,18 \cdot 3 ^ { 2 } , 18 \cdot 3 ^ { 3 } , \ldots$