document.write( "Question 702642: Write a rule for the nth term of the sequence. Use your rule to find a100.–8, 9, 26, 43, 60, . . . \n" ); document.write( "
Algebra.Com's Answer #433083 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
–8, 9, 26, 43, 60, . . .
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document.write( "a2 - a1 = 9-(-8) = 9+8 = 17\r\n" );
document.write( "a3 - a2 = 26-9 = 17\r\n" );
document.write( "a4 - a3 = 43-26 = 17\r\n" );
document.write( "a5 - a4 = 60-43 = 17\r\n" );
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document.write( "So it is an arithmetic sequence with common\r\n" );
document.write( "difference d = 17\r\n" );
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document.write( "an = a1 + (n-1)·d\r\n" );
document.write( "an = -8 + (n-1)·17\r\n" );
document.write( "an = -8 + 17(n-1)\r\n" );
document.write( "an = -8 + 17n-17\r\n" );
document.write( "an = -25 + 17n\r\n" );
document.write( "an = 17n - 25\r\n" );
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document.write( "Checking:\r\n" );
document.write( "a1 = 17(1) - 25 = 17 - 25 = -8\r\n" );
document.write( "a2 = 17(2) - 25 = 34 - 25 =  9\r\n" );
document.write( "a3 = 17(3) - 25 = 51 - 25 = 26\r\n" );
document.write( "a4 = 17(4) - 25 = 68 - 25 = 43\r\n" );
document.write( "a5 = 17(5) - 25 = 85 - 25 = 60\r\n" );
document.write( "...\r\n" );
document.write( "a100 = 17(100) - 25 = 1700 - 25 = 1675\r\n" );
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document.write( "Edwin
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