Find the nth term of the geometric sequence.
-$$\mathrm { a } _ { 1 } = \frac { 1 } { 3 } , \mathrm { r } = \frac { 1 } { 2 } , \mathrm { n } = 5$$
A) $a _ { 5 } = \frac { 1 } { 96 }$
B) $a _ { 5 } = \frac { 1 } { 48 }$
C) $a _ { 5 } = \frac { 1 } { 24 }$
D) $a _ { 5 } = \frac { 1 } { 162 }$

Question

Quizplus · Accepted Answer

The nth term of a geometric sequence is given by $ a_n = a_1 \cdot r^{n-1} $. Substituting the given values: $ a_5 = \frac{1}{3} \cdot \left(\frac{1}{2}\right)^{4} = \frac{1}{3} \cdot \frac{1}{16} = \frac{1}{48} $.

Find the Nth Term of the Geometric Sequence a1=13,r=12,n=5\mathrm { a } _ { 1 } = \frac { 1 } { 3 } , \mathrm { r } = \frac { 1 } { 2 } , \mathrm { n } = 5a1​=31​,r=21​,n=5

Find the Nth Term of the Geometric Sequence $\mathrm { a } _ { 1 } = \frac { 1 } { 3 } , \mathrm { r } = \frac { 1 } { 2 } , \mathrm { n } = 5$