Find the nth term of the geometric sequence.
-$$a _ { 1 } = 1792 , r = \frac { 1 } { 4 } , n = 4$$
A) $a _ { 4 } = - 28$
B) $a _ { 4 } = - \frac { 1 } { 28 }$
C) $\mathrm { a } _ { 4 } = \frac { 1 } { 28 }$
D) $\mathrm { a } _ { 4 } = 28$

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 $n = 4$, we get $a_4 = 1792 \cdot \left(\frac{1}{4}\right)^{3} = 1792 \cdot \frac{1}{64} = 28$.

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

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