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求数列{1/n(n+3)}的前n项和(裂项相消)
人气:162 ℃ 时间:2020-04-15 17:45:46
解答
当然是列项相消 可得1\3(1–1\4+1\2–1\5+1\3–1\6+...+1\(n–2)–1\(n+1)+1\(n–1)–1\(n+2)+1\n–1\(n+3).其余都消了.就剩1\3(1+1\2+1\3–1(n+1)–1\(n+2)–1\(n+3)) 然后就求出来了
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