## 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 $$a - b?$$

by Gmat_mission » Thu Jul 22, 2021 11:20 am

00:00

A

B

C

D

E

## Global Stats

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. $$\dfrac{169}{256}$$