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###### Un 1 UviSiDle Dy (28) Let 01 =5,and let 0n+1 a2 Prove that the last n digits of an are the same as the last n digits of an+1. (29) Prove that for any positive integer 7, it is possible to partition any triangle T into 3n + 1 similar triangles. (30) Let n > 14 be an integer. Prove that a square can be partitioned into

Un 1 UviSiDle Dy (28) Let 01 =5,and let 0n+1 a2 Prove that the last n digits of an are the same as the last n digits of an+1. (29) Prove that for any positive integer 7, it is possible to partition any triangle T into 3n + 1 similar triangles. (30) Let n > 14 be an integer. Prove that a square can be partitioned into

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