(3x+4) / { (x+1)(x+2) } 1 / { k(k+2)(k+3) } (n+2) / { n(n+1) } (k+2) / { k(k+1)2k } 1 / { (2k- 3/2)( 2(k+1)- 3/2) } (k+3) / { k(k+1) }

(k+3) / { k(k+1)(k+2) } 1 / { (2n-1)(2n+1)(2n+3) } 1 / { (3k-2)(3k+1)(3k+4) } 1 / { (2n+1)(2n+3) } x / { (x-2)(x+3) } 1 / { (2t+1)(t+2) } (m-n) / { 2(m+1)(n+1) } (ただし m>n )

(x-5) / { (x-1)(x+2) } (4x-1) / { (x+2)(2x+1) } 1 / { n(n+1)(n+3) } 1 / (x2-9) 1 / { (x-1)(x+2) } 2 / { x(x-2) } 1 / { (2t+1)(t-2) } (y-z) / { (x-y)(x-z) } (ただし y>z )

1 / { (2k-1)(2k+1)(2k+3) } (2k+1) / { k2(k+1)2 } 2 / { (2n-1)(2n+1) } 1 / { x(x-4) } 1 / { (3n-2)(3n+1) } 1 / { (t+1)(t-1) } x / { (x-1)(2x-1) } 2 / { n(n+3) }

1 / 2・5・8 1 / { n(n+1)(n+2) } 1 / { n(n+a)(n+2a) } 1 / { (x+1)(x+3) } + 1 / { (x+3)(x+5) } + 1 / { (x+5)(x+7) } 1 / { (2k-1)(2k+1) } 1 / { k(k+2) } 1 / { (3k-1)(3k+2) }

1 / { (4k-1)(4k+3) } 1 / { (3n+2)(3n-1) } 1 / { (3k+1)(3k-2) } 1 / { (an+b+a)(an+b) } 1 / 3・4・5 1 / 1・5・9

1 / (2・3) 1 / (6・5) 1 / (2・5) 1 / { a(a+1) } 1 / { (k-1)k } 1 / { k(k+3) }