On the coordinate plane, there is a circle $C _ { 1 } : ( x - 4 ) ^ { 2 } + y ^ { 2 } = 1$. As shown in the figure, when a tangent line $l$ with positive slope is drawn from the origin to the circle $C _ { 1 }$, let the point of tangency be $\mathrm { P } _ { 1 }$. Let $C _ { 2 }$ be a circle with center on the line $l$, passing through the point $\mathrm { P } _ { 1 }$, and tangent to the $x$-axis, and let $\mathrm { P } _ { 2 }$ be the point of tangency with the $x$-axis. Let $C _ { 3 }$ be a circle with center on the $x$-axis, passing through the point $\mathrm { P } _ { 2 }$, and tangent to the line $l$, and let $\mathrm { P } _ { 3 }$ be the point of tangency with the line $l$. Let $C _ { 4 }$ be a circle with center on the line $l$, passing through the point $\mathrm { P } _ { 3 }$, and tangent to the $x$-axis, and let $\mathrm { P } _ { 4 }$ be the point of tangency with the $x$-axis. Continuing this process, let $S _ { n }$ be the area of the circle $C _ { n }$. What is the value of $\sum _ { n = 1 } ^ { \infty } S _ { n }$? (Note: the radius of circle $C _ { n + 1 }$ is smaller than the radius of circle $C _ { n }$.) [4 points]
(1) $\frac { 3 } { 2 } \pi$
(2) $2 \pi$
(3) $\frac { 5 } { 2 } \pi$
(4) $3 \pi$
(5) $\frac { 7 } { 2 } \pi$