>>674
Σ((1/2)^n)sin[nπ/2]
=納k=0 ∞] ((1/2)^(4k+0))sin[0π/2]
       + ((1/2)^(4k+1))sin[1π/2]
       + ((1/2)^(4k+2))sin[2π/2]
       + ((1/2)^(4k+3))sin[3π/2]
=納k=0 ∞](1/2)^(4k+1)-(1/2)^(4k+3)