用小捧按照如图方式摆六边形.摆8个六边形需要_根小棒,摆n个六边形需要_根小棒.
题目
用小捧按照如图方式摆六边形.摆8个六边形需要______根小棒,摆n个六边形需要______根小棒.
答案
根据题干分析可得:摆1个六边形需要6根小棒,可以写作:5×1+1;
摆2个需要11根小棒,可以写作:5×2+1;
摆3个需要16根小棒,可以写成:5×3+1;
摆8个需要5×8+1=41;
摆n个六边形需要:5n+1根小棒.
故答案为:41,5n+1.
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