Mathematics

Mathematics

Problem

Let A1,A2,A3,…,AnA_1, A_2, A_3, \dots, A_n be squares such that for each n≥1n \ge 1 the length of a side of AnA_n equals the length of a diagonal of An+1A_{n+1}. If the side of A1A_1 be 20 units then the smallest value of 'n' for which area of AnA_n is less than 1. (a) 7 (b) 8 (c) 9 (d) 10

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