1分钱倍增30天是多少 一天一分钱、以几何倍增的方式,1.2.4.8.16.32.6...

\u4e00\u5206\u94b1\u500d\u589e30\u5929\u7b49\u4e8e\u591a\u5c11\u94b1\uff1f

\u4e00\u59291\u5206\u94b1\uff0c\u4ee5\u540e\u6bcf\u5929\u52a0\u500d\uff0c\u4e00\u4e2a\u6708\u540e\u591a\u5c11\u94b1\uff1f

\u4e00\u59291\u5206\u94b1\uff0c\u4ee5\u540e\u6bcf\u5929\u52a0\u500d\uff0c\u4e00\u4e2a\u6708\u540e\u591a\u5c11\u94b1\uff1f

1分钱(每天)倍增;
(到)30天是(10737418.24元);
2^30
=1073741824

  • 1鍒嗛挶鍊嶅30澶╂槸澶氬皯
    绛旓細1鍒嗛挶锛堟瘡澶╋級鍊嶅锛锛堝埌锛30澶╂槸锛10737418.24鍏冿級锛2^30 =1073741824
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    绛旓細绗涓夊崄澶绛変簬2^29=536870912鍒嗛挶璁$畻鏂规硶锛氫竴澶涓鍒嗛挶锛屽悗涓澶╃殑閽辨槸鍓嶄竴澶╃殑涓ゅ嶏紝绗簩澶╂槸涓ゅ垎閽憋紙2鐨1娆℃柟锛夛紝绗笁澶╂槸鍥涘垎閽憋紙2鐨2娆℃柟锛夛紝绗洓澶╂槸鍏垎閽憋紙2鐨3娆℃柟锛夛紝绗簲澶╁崄鍏垎閽憋紙2鐨4娆℃柟锛夛紝
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    绛旓細瑙o細0.01x锛1+1锛塣30 =0.01x1073741824 =10737418.24鍏 =1073.741824涓囧厓 鈮1000涓囧厓
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    绛旓細5368709.12鍏冦傚垎鏋愯繃绋嬪涓嬶細涓鍒嗛挶锛屾瘡澶╃炕涓鍊嶏紝绗竴澶0.01锛岀浜屽ぉ0.02锛岀涓夊ぉ0.04锛岀鍥涘ぉ0.08锛岃繖浜涙暟鎹瀯鎴愪竴涓瓑姣旀暟鍒楋紝鐢辨鍙緱锛氱30澶鐨勯挶鏁帮細0.01*2^29=5368709.12銆
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    绛旓細绛旀锛2鐨30娆℃柟-1=1073741823鍒=10737418.23鍏冦傜瓑姣旀暟鍒楁眰鍜屽叕寮 锛歲鈮1鏃 锛孲n=a1(1-q^n)/(1-q)=(a1-an*q)/(1-q) 锛泀=1鏃禨n=na1 (a1涓洪椤,an涓虹n椤,d涓哄叕宸,q 涓虹瓑姣)銆備緷鎹叕寮,鏈涓,a1=1 锛宎n=2^29锛宷=2 n=30锛孲n=(1-2^29*2)/(-1)=2^30-1銆
  • 涓澶涓鍒嗛挶,姣忓ぉ钃撹摀缈,缈30澶,鑳界炕鍒澶氬皯閽
    绛旓細绗竴澶╀负1鍒嗛挶锛岀浜屽ぉ缈诲嶄负2鍒嗛挶锛岀涓夊ぉ鍐嶇炕鍊嶏紝濡傛绫绘帹锛30澶灏辨槸2鍒嗛挶杩炵画缈诲29娆★紝涔熷氨鏄2鐨29娆℃柟锛岀粨鏋滀负2^29 = 536870912 鍒嗛挶锛屽嵆5368709鍏冦
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    绛旓細棣栧厛锛屾垜浠潵鐞嗚В涓涓嬮棶棰樼殑鍏蜂綋鎯呭喌銆傛湁涓鍒嗛挶锛屾瘡澶╅兘浼氱炕涓鍊嶏紝鎴戜滑瑕佽绠30澶╁悗杩欑瑪閽变細鍙樻垚澶氬皯銆傝繖鍏跺疄鏄竴涓瓑姣旀暟鍒楃殑闂锛屽叕姣斾负2锛屽垵濮嬪间负1鍒嗐傛垜浠彲浠ラ氳繃绛夋瘮鏁板垪鐨勫叕寮忔潵璁$畻30澶╁悗鐨勯噾棰濄傜瓑姣旀暟鍒楃殑鍏紡涓猴細S = a × (1 - q^n) / (1 - q)鍏朵腑锛孲鏄诲拰锛宎鏄涓椤...
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    绛旓細536870912鍒嗭紝涔熷氨鏄5锛368锛709.12鍏冦傚叕寮忓氨鏄2鐨勶紙澶╂暟锛1锛夋鏂广傚垎鏋愯繃绋嬶細涓澶涓鍒嗛挶锛屼竴澶╀竴缈诲嶏紝绗簩澶╂槸涓ゅ垎閽憋紙2鐨1娆℃柟锛夛紝绗笁澶╂槸鍥涘垎閽憋紙2鐨2娆℃柟锛夛紝绗洓澶╂槸鍏垎閽憋紙2鐨3娆℃柟锛夛紝绗簲澶╁崄鍏垎閽憋紙2鐨4娆℃柟锛夛紝
  • 姣忓ぉ鍙0.01缈诲嶅彂涓涓湀鏄灏
    绛旓細5368709.12銆傝繍绠楄繃绋嬪涓嬶細1銆涓鍒嗛挶锛屾瘡澶╃炕涓鍊嶏紝绗竴澶0.01锛岀浜屽ぉ0.02锛岀涓夊ぉ0.04锛岀鍥涘ぉ0.08锛岃繖浜涙暟鎹瀯鎴愪竴涓瓑姣旀暟鍒椼2銆佺敱姝ゅ彲寰楋細绗30澶鐨勬暟锛0.01*2^29=5368709.12銆
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