Find the nth term of the geometric sequence.
-$$\mathrm { a } _ { 1 } = 1792 , \mathrm { r } = \frac { 1 } { 4 } , \mathrm { n } = 2$$
A) $a _ { 2 } = \frac { 1 } { 448 }$
B) $a _ { 2 } = 448$
C) $a _ { 2 } = - 448$
D) $a _ { 2 } = - \frac { 1 } { 448 }$

Question

Quizplus · Accepted Answer

The nth term of a geometric sequence is given by $a_n = a_1 \cdot r^{(n-1)}$. Substituting $a_1 = 1792$, $r = \frac{1}{4}$, and $n = 2$, we get $a_2 = 1792 \cdot \left(\frac{1}{4}\right)^{2-1} = 1792 \cdot \frac{1}{4} = 448$.

Find the Nth Term of the Geometric Sequence a1=1792,r=14,n=2\mathrm { a } _ { 1 } = 1792 , \mathrm { r } = \frac { 1 } { 4 } , \mathrm { n } = 2a1​=1792,r=41​,n=2

Find the Nth Term of the Geometric Sequence $\mathrm { a } _ { 1 } = 1792 , \mathrm { r } = \frac { 1 } { 4 } , \mathrm { n } = 2$