Homework Sourse10 Compute t 0G t0 Solutionlet s t 0 to 10 12t s 1201211221
Solution
let s =t =0 to 10 (1/2)t
s = (1/2)0+(1/2)1+(1/2)2+(1/2)3+(1/2)4+(1/2)5+(1/2)6+(1/2)7+(1/2)8+(1/2)9+(1/2)10
multiply on both sides by 1/2
(1/2)s =(1/2)1+(1/2)2+(1/2)3+(1/2)4+(1/2)5+(1/2)6+(1/2)7+(1/2)8+(1/2)9+(1/2)10+(1/2)11
s-(1/2)s=[(1/2)0+(1/2)1+(1/2)2+(1/2)3+(1/2)4+(1/2)5+(1/2)6+(1/2)7+(1/2)8+(1/2)9+(1/2)10]-[(1/2)1+(1/2)2+(1/2)3+(1/2)4+(1/2)5+(1/2)6+(1/2)7+(1/2)8+(1/2)9+(1/2)10+(1/2)11]
s-(1/2)s=[(1/2)0-(1/2)11]
s(1-(1/2))=[1-(1/2048)]
s(1/2)=[2047/2048]
s=2*[2047/2048]
s=[4094/2048]
t =0 to 10 (1/2)t =4094/2048
