Use the Formula for the General Term of a Geometric Sequence
-Find $\mathrm { a } _ { 12 }$ when $\mathrm { a } _ { 1 } = 4000 , \mathrm { r } = \frac { 1 } { 3 }$.
A) $\frac { 4000 } { 177147 }$
B) $\frac { 4000 } { 531441 }$
C) $\frac { 4000 } { 1594323 }$
D) $\frac { 12011 } { 3 }$

Question

Quizplus · Accepted Answer

The formula for the $n$th term of a geometric sequence is $a_n = a_1 \cdot r^{(n-1)}$. Substituting $a_1 = 4000$, $r = \frac{1}{3}$, and $n = 12$, we get $a_{12} = 4000 \cdot \left(\frac{1}{3}\right)^{11} = \frac{4000}{3^{11}} = \frac{4000}{177147}$.

Use the Formula for the General Term of a Geometric a12\mathrm { a } _ { 12 }a12​

Use the Formula for the General Term of a Geometric $\mathrm { a } _ { 12 }$