Determine the indicated term in the given sequence.
-The 7th term of 5 , 15 , 45 , . . .
A)10,935
B)32,805
C)3645
D)729

Question

Quizplus · Accepted Answer

This sequence is a geometric sequence where each term is multiplied by 3 to get the next term. The first term is 5, and the common ratio (r) is 3. The nth term of a geometric sequence is given by $a_n = a_1 \cdot r^{(n-1)}$. For the 7th term, $n = 7$, $a_1 = 5$, and $r = 3$, so $a_7 = 5 \cdot 3^{(7-1)} = 5 \cdot 3^6 = 5 \cdot 729 = 3645$.

Determine the Indicated Term in the Given Sequence