document.write( "Question 1199206: Simplify: + ... + $\"%28%284%5E102%29%2F%284%5E103%29%29+%2B+%28%284%5E102%29%2F%284%5E104%29%29\"$ \n" ); document.write( "

Algebra.Com's Answer #832954 by ikleyn(52834) $\"\"$ $\"About$

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+ ... + $\"%28%284%5E102%29%2F%284%5E103%29%29+%2B+%28%284%5E102%29%2F%284%5E104%29%29\"$
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document.write( "I see two sequences alternate.\r\n" );
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document.write( "After separating, one sequence is    +  +  + . . . +          (1)\r\n" );
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document.write( "              Another sequence is    +  +  + . . . +          (2)\r\n" );
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document.write( "Sequence (1), after reducing, is the sum of  = 52 equal addends, each of which is  ,\r\n" );
document.write( "so this sum is  .\r\n" );
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document.write( "Sequence (2), after reducing, is the sum of  = 52 equal addends, each of which is  ,\r\n" );
document.write( "so this sum is  .\r\n" );
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document.write( "Therefore, the total sum is   +  =  +  =  =  = 16 = 16.    ANSWER\r\n" );
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