document.write( "Question 1165705: An arithmetic sequence starts 23, 36, 49, 62, …. What is the first term of the sequence to exceed 200,000? \n" ); document.write( "

Algebra.Com's Answer #790174 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "First term of the AP is 23;  the common difference is 13.\r\n" );
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document.write( "You want to find the minimal integer \"n\" such that\r\n" );
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document.write( "    23 + 13*(n-1) >= 200000.\r\n" );
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document.write( "Then  n-1 >=  = 15382.85;  hence, n = 15383 + 1 = 15384.      ANSWER\r\n" );
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document.write( "CHECK.  23 + 13*(15384-1) = 200002.     ! Ok !\r\n" );
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