turkey-yks 2012 Q34

turkey-yks · Other · lys1-math Geometric Sequences and Series Fractal/Iterative Geometric Construction (Area, Length, or Perimeter Series)
Below, a sequence of circles drawn side by side is given. In this sequence; the radius of the first circle is 4 units and the radius of each subsequent circle is half the radius of the previous circle.
What is the sum of the circumferences of all circles in this sequence in units?
A) $15 \pi$
B) $16 \pi$
C) $18 \pi$
D) $\frac { 31 \pi } { 2 }$
E) $\frac { 33 \pi } { 2 }$ 
Below, a sequence of circles drawn side by side is given. In this sequence; the radius of the first circle is 4 units and the radius of each subsequent circle is half the radius of the previous circle.

What is the sum of the circumferences of all circles in this sequence in units?

A) $15 \pi$\\
B) $16 \pi$\\
C) $18 \pi$\\
D) $\frac { 31 \pi } { 2 }$\\
E) $\frac { 33 \pi } { 2 }$
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