单词 | proof by induction |
释义 | proof by induction The method of proving a sequence of statements by showing that if one particular case is true, the next must also be true; but it is true for the first, so it must be true for the rest. Consider for example the statement that the sum of the first N terms of a geometric progression a, ar, ar2, etc. is given by SN = a(rN - 1)/(r - 1). This is clearly true for N = 1. Suppose it is true for N. The N + 1th term is arN. But |
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