试题与答案

将一根绳子对折1次从中间剪断,绳子变成3段;将一根绳子对折2次,从中间剪断,绳子

题型:填空题

题目:

将一根绳子对折1次从中间剪断,绳子变成3段;将一根绳子对折2次,从中间剪断,绳子变成5段;依此类推,将一根绳子对折n次,从中间剪一刀全部剪断后,绳子变成______段.

答案:

∵对折1次从中间剪断,有21+1=3;对折2次,从中间剪断,有22+1=5.

∴对折n次,从中间剪一刀全部剪断后,绳子变成2(N-1)+1段.

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