26
次の数列の和\(S\)を求めよ。
(1)
\(\dfrac{1}{1\cdot2\cdot3}\),
\(\dfrac{1}{2\cdot3\cdot4}\),
\(\dfrac{1}{3\cdot4\cdot5}\),
…,
\(\dfrac{1}{n(n+1)(n+2)}\)
(2)
\(\dfrac{1}{1+\sqrt{3}}\),
\(\dfrac{1}{\sqrt{2}+\sqrt{4}}\),
\(\dfrac{1}{\sqrt{3}+\sqrt{5}}\),
…,
\(\dfrac{1}{\sqrt{n}+\sqrt{n+2}}\) (\(n\geqq 2\))