If \(a=1+\dfrac14+\dfrac1{16}+\dfrac1{64}\) and \(b=1+\dfrac14a,\) then what is the value of \(a - b?\)
A. \(-\dfrac{85}{256}\)
B. \(-\dfrac1{256}\)
C. \(-\dfrac14\)
D. \(\dfrac{125}{256}\)
E. \(\dfrac{169}{256}\)
Answer: B
Source: Official Guide
If \(a=1+\dfrac14+\dfrac1{16}+\dfrac1{64}\) and \(b=1+\dfrac14a,\) then what is the value of \(a - b?\)
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