document.write( "Question 583543: what is the 10th,20th,and 30th terms of
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document.write( "1.)3,14,25,36,47
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document.write( "2.)25,38,51,64,77
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Algebra.Com's Answer #372499 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! what is the 10th,20th,and 30th terms of \n" ); document.write( "1.)3,14,25,36,47 \n" ); document.write( "2.)25,38,51,64,77 \n" ); document.write( " \r\n" ); document.write( "I'll just find the 10th term of 1.) The others are done the same way.\r\n" ); document.write( "\r\n" ); document.write( "Use the formula\r\n" ); document.write( "\r\n" ); document.write( "an = a1 + (n-1)·d\r\n" ); document.write( "\r\n" ); document.write( "You have a1 = 3, and n = 10. But you also need d.\r\n" ); document.write( "\r\n" ); document.write( "To find d you subtract the 1st term from the 2nd term:\r\n" ); document.write( "\r\n" ); document.write( "d = a2 - a1 = 14 - 3 = 11\r\n" ); document.write( "\r\n" ); document.write( "But you should also check to make sure that the sequence is arithmetic,\r\n" ); document.write( "otherwise the formula would not work:\r\n" ); document.write( "\r\n" ); document.write( "d = a3 - a2 = 25 - 14 = 11\r\n" ); document.write( "d = a4 - a3 = 36 - 25 = 11\r\n" ); document.write( "d = a5 - a4 = 47 - 36 = 11\r\n" ); document.write( "\r\n" ); document.write( "If any of those had been different, the above formula would not work.\r\n" ); document.write( "But since they're all the same it will work.\r\n" ); document.write( "\r\n" ); document.write( "For the 10th term, \r\n" ); document.write( "\r\n" ); document.write( "an = a1 + (n-1)·d\r\n" ); document.write( "a10 = 3 + (10-1)·11\r\n" ); document.write( "an = 3 + (9)·11\r\n" ); document.write( "an = 3 + 99\r\n" ); document.write( "an = 102\r\n" ); document.write( "\r\n" ); document.write( "You can find all the others exactly the same way.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |