计算:5+10+15…+100= 计算5+10+15+20+…+90+95+100=_____...
1. \u4e0b\u9762\u7a0b\u5e8f\u529f\u80fd\u662f:\u8ba1\u7b97\u8f93\u51fa5 + 10 + 15 + \u2026 + 100\u3002 \u8fd0\u884c\u7a0b\u5e8f\u7684\u6b65\u9aa4\uff1f\u7528C\u8bed\u8a00\u7a0b\u5e8f\u5b9e\u73b0\u5982\u4e0b\uff1a
#include
int main()
{int i,s=0;
for(i=5;i<101;i+=5)
s+=i;
printf("%d\n",s);
getchar();
return 0;
}
\u7f16\u5199\u6e90\u4ee3\u7801\u5b8c\u6210\u540e\uff0c\u7f16\u8bd1\u7a0b\u5e8f\uff0c\u6210\u529f\u540e\u518d\u8fd0\u884c\u7a0b\u5e8f\u3002
5+10+15+20+\u2026+90+95+100=\uff085+95\uff09+\uff0810+90\uff09+\u2026+\uff0845+55\uff09+\uff0850+100\uff09=100\u00d79+150=1050\u6545\u7b54\u6848\u4e3a\uff1a1050\uff0e
5+10+15+…+100=(5+95)+(10+90)+…+(45+55)+(50+100)
=100×9+150
=1050
故答案为:1050.
绛旓細棣栭」 a = 5 鍏樊 d = 10 - 5 = 15 - 10 = 5 鐜板湪锛屾垜浠彲浠ヤ娇鐢ㄦ暟鍒楁眰鍜屽叕寮忔潵璁$畻锛歯 = (鏈鍚庝竴椤 - 棣栭」) / 鍏樊 + 1 鏈鍚庝竴椤瑰彲浠ラ氳繃姹傝В绛夊樊鏁板垪鐨勬渶澶ч」灏忎簬绛変簬100鐨勬潯浠跺緱鍒帮細鏈鍚庝竴椤 = 100 - 5 + 5 = 100 灏嗚繖浜涘间唬鍏ュ叕寮忎腑锛屾垜浠彲浠ヨ绠楀緱鍒帮細n = (100 - 5) /...
绛旓細5+10+15+...+100 =锛5+100锛壝梉锛100-5锛壝5+1]梅2 =105脳20梅2 =1050
绛旓細绗100涓暟搴旇鏄500銆5鍙互鐪嬬潃1x锛10鍙互鐪嬩綔2x锛15鍙互鐪嬩綔3x锛屼篃灏辨槸x=5锛岄偅涔堢100涓簲璇ユ槸500銆
绛旓細濡傛灉鎷彿閲屾槸鍔犵殑璇濓紝绛旀鏄30
绛旓細鐢–璇█绋嬪簭瀹炵幇濡備笅锛歩nclude<stdio.h> int main(){int i,s=0;for(i=5;i<101;i+=5)s+=i;printf("%d\n",s);getchar();return 0;} 缂栧啓婧愪唬鐮佸畬鎴愬悗锛岀紪璇戠▼搴忥紝鎴愬姛鍚庡啀杩愯绋嬪簭銆
绛旓細绛夊樊鏁板垪鍏紡 涓鍏辨湁锛100-5锛/5+1=20涓暟 鎵浠ュ拰=20*锛5+100锛/2=1050
绛旓細=5*(1+2+3...20)1+2+3...20鏍规嵁鍏紡 [N(N+1)]/2鍙緱220 (涓鍒囦粠1寮濮嬭繛缁嚜鐒舵暟鍜岄兘鍙敤姝ゅ叕寮忚В鍐)5*220=1050
绛旓細105,110,115,120...
绛旓細涓浜斾竴鍗 鐧惧垎涔嬬櫨
绛旓細涓や釜涓や釜鏁帮細2锛4锛6锛8锛10鈥︹100 涓変釜涓変釜鏁帮細3锛6锛9锛12锛15鈥︹︹99锛100 浜斾釜浜斾釜鏁锛5锛10锛15锛20锛25鈥︹︹100 鍗涓崄涓暟锛10锛20锛30锛40锛50鈥︹︹100