Find the fourth term of the geometric sequence given $a _ { 1 } = 7$ and $\boldsymbol { r } = \frac { 1 } { 7 }$
A) $a _ { 4 } = \frac { 1 } { 7 }$
B) $a _ { 4 } = - \frac { 1 } { 4 g }$
C) $a _ { 4 } = \frac { 1 } { 14 }$
D) $a _ { 4 } = \frac { 1 } { 49 }$
E) $a _ { 4 } = 49$

Question

Quizplus · Accepted Answer

The fourth term of a geometric sequence is given by $a_4 = a_1 \cdot r^{3}$. Here, $a_1 = 7$ and $r = \frac{1}{7}$. So, $a_4 = 7 \cdot \left(\frac{1}{7}\right)^3 = 7 \cdot \frac{1}{343} = \frac{7}{343} = \frac{1}{49}$.

Find the Fourth Term of the Geometric Sequence Given a1=7a _ { 1 } = 7a1​=7

Find the Fourth Term of the Geometric Sequence Given $a _ { 1 } = 7$