If \(a=1+\dfrac14+\dfrac1{16}+\dfrac1{64}\) and \(b=1+\dfrac14a,\) then what is the value of \(a - b?\)

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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

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