\(1+\dfrac{5}{4}+\dfrac{5}{8}\)\(+\) \(\dfrac{5}{16}+\dfrac{5}{32}+\dfrac{5}{64}\)
= \(\dfrac{64}{64}+\dfrac{80}{64}+\dfrac{40}{64}+\dfrac{20}{64}+\dfrac{10}{64}+\dfrac{5}{64}\)
= \(\dfrac{64+80+40+20+10+5}{64}\)
= \(\dfrac{219}{64}\)
= \(\dfrac{27}{8}\)