Use the Formula for the General Term of a Geometric Sequence
-Find $a _ { 6 }$ when $a _ { 1 } = 9600 , r = - \frac { 1 } { 2 }$.
A) $- 300$
B) $- 150$
C) 300
D) $- 30$

Question

Quizplus · Accepted Answer

The general term of a geometric sequence is given by $a_n = a_1 \cdot r^{n-1}$. For $a_6$, substitute $a_1 = 9600$, $r = -\frac{1}{2}$, and $n = 6$: $a_6 = 9600 \cdot \left(-\frac{1}{2}\right)^{5} = 9600 \cdot -\frac{1}{32} = -300$.

Use the Formula for the General Term of a Geometric a6a _ { 6 }a6​

Use the Formula for the General Term of a Geometric $a _ { 6 }$