Algebra.Com's Answer #726639 by ikleyn(52797)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "All you need to know to solve the problem is \"What are 2 last digits of each separate multiplier ?\"\r\n" );
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document.write( "It is the same as to ask \"What is  mod 100 ?\"\r\n" );
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document.write( "It is not so easy to answer the question.\r\n" );
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document.write( "It is not so easy even for MS Excel.\r\n" );
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document.write( "But if you use MS Excel recursive function  = MOD( (33*MOD(a[n],100), 100), starting from  = 33,\r\n" );
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document.write( "you will get the answer easily: mod 100 is periodic with the period 20.\r\n" );
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document.write( "In other words,  mod 100 =33, \r\n" );
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document.write( "or, which is the same, the last two digits of the number sequence , n = 1, 2, 3, . . . repeat with the period of 20.\r\n" );
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document.write( "If you do not believe me, make calculations on your own.\r\n" );
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document.write( "It is enough (for an advanced mind, which you, without any doubt, are, by bringing so advanced problem . . . ) to complete the solution.\r\n" );
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document.write( "I want to say that the rest is simple mechanical procedure . . . \r\n" );
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document.write( "The lesson of this site might be useful to you\r
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document.write( " - Find the last three digits of these numbers \r
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document.write( "Similar problems were solved there, and you will find there the required ideas and techniques.\r
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