document.write( "Question 881938: Can you please show me how to work this out? I would really be thankful!!\r
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document.write( "What is the sum of the arithmetic sequence 3, 9, 15..., if there are 26 terms?\r
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document.write( " 1,452\r
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document.write( " 1,728\r
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document.write( " 2,028\r
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document.write( " 2,268
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Algebra.Com's Answer #532618 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! The common difference is 9 - 3 = 6. So d = 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "First term: a1 = 3\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Sn = n*(a1 + an)/2\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Sn = n*(a1 + a1 + (n-1)*d)/2\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Sn = n*(2*a1 + (n-1)*d)/2\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "S26 = 26*(2*a1 + (26-1)*d)/2 ... plug in n = 26\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "S26 = 26*(2*3 + (26-1)*d)/2 ... plug in a1 = 3\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "S26 = 26*(2*3 + (26-1)*6)/2 ... plug in d = 6\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "S26 = 2,028\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The sum of the first 26 terms is 2,028 \n" ); document.write( " |