document.write( "Question 364073: What is the sum of the first eleven terms of the arithmetic sequence
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document.write( "3, 5 1/2 , 8, ...... ?\r
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document.write( "a 28 b 143 1/2 c 154 d 170 1/2 e 175 \r
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Algebra.Com's Answer #259679 by vasumathi(46)![]() ![]() ![]() You can put this solution on YOUR website! Solution : The first term = 3 \n" ); document.write( "so a = 3 \n" ); document.write( "and the difference between the second and the first is \n" ); document.write( "5 1/2 - 3 = 2 1/2 \n" ); document.write( "so d = 2 1/2 = 5/2 \n" ); document.write( "the number of terms = 11 \n" ); document.write( "so n = 11 \n" ); document.write( "then the sum of first eleven numbers of this series is as follows.... \n" ); document.write( "S = (n/2)(2a + (n-1)d) \n" ); document.write( "S = 11/2 (2*3 + (11-1)*(5/2)) \n" ); document.write( "S = 5.5 ( 6 +10 * 5/2) \n" ); document.write( "S = 5.5(6 +25) \n" ); document.write( "S = 5.5 * 31 \n" ); document.write( "S = 170.5 = 170 1/2 \n" ); document.write( "So the choice \"d\" is correct \n" ); document.write( " |