document.write( "Question 141049: write the first five terms of the sequence defined by the given recursive or explicit formula. tn=32-8n \n" ); document.write( "
Algebra.Com's Answer #102712 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
write the first five terms of the sequence defined by the given recursive or explicit formula. \r
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document.write( "This is an explicit formula because it does not have tn on\r\n" );
document.write( "one side and tn+1 or tn-1 on the other, and\r\n" );
document.write( "it does not give separately the value of the first term.\r\n" );
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document.write( "tn=32-8n\r\n" );
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document.write( "To find the first term, t1, we substitute 1 for n\r\n" );
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document.write( "tn=32-8n\r\n" );
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document.write( "t1=32-8(1)\r\n" );
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document.write( "t1=32-8 \r\n" );
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document.write( "t1=24\r\n" );
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document.write( "To find the second term, t2, we substitute 2 for n\r\n" );
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document.write( "tn=32-8n\r\n" );
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document.write( "t2=32-8(2)\r\n" );
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document.write( "t2=32-16 \r\n" );
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document.write( "t2=16\r\n" );
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document.write( "To find the third term, t3, we substitute 3 for n\r\n" );
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document.write( "tn=32-8n\r\n" );
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document.write( "t3=32-8(3)\r\n" );
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document.write( "t3=32-24 \r\n" );
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document.write( "t3=8\r\n" );
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document.write( "To find the fourth term, t4, we substitute 4 for n\r\n" );
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document.write( "tn=32-8n\r\n" );
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document.write( "t4=32-8(4)\r\n" );
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document.write( "t4=32-32 \r\n" );
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document.write( "t4=0\r\n" );
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document.write( "To find the fifth term, t5, we substitute 5 for n\r\n" );
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document.write( "tn=32-8n\r\n" );
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document.write( "t5=32-8(5)\r\n" );
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document.write( "t5=32-40 \r\n" );
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document.write( "t5=-8\r\n" );
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document.write( "So the 5 terms of the sequence are 24, 16, 8, 0, -8 \r\n" );
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document.write( "You didn't ask this, but you'll need to know it:\r\n" );
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document.write( "The same sequence could have been given to you \r\n" );
document.write( "recursively as:\r\n" );
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document.write( "tn+1 = tn-8, t1 = 24\r\n" );
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document.write( "Notice that it has t's on both sides of the equation and\r\n" );
document.write( "the first term t1 is given.\r\n" );
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document.write( "Then we would substitute 2 for n and 24 for t1 to find t2\r\n" );
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document.write( "tn+1 = tn-8\r\n" );
document.write( "t1+1 = t1-8\r\n" );
document.write( "t2 = t1-8\r\n" );
document.write( "t2 = 24-8\r\n" );
document.write( "t2 = 16\r\n" );
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document.write( "Then we would substitute 3 for n and 16 for t2 to find t3\r\n" );
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document.write( "tn+1 = tn-8\r\n" );
document.write( "t2+1 = t2-8\r\n" );
document.write( "t3 = t2-8\r\n" );
document.write( "t3 = 16-8\r\n" );
document.write( "t3 = 8\r\n" );
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document.write( "Then we would substitute 4 for n and 8 for t3 to find t4\r\n" );
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document.write( "tn+1 = tn-8\r\n" );
document.write( "t3+1 = t3-8\r\n" );
document.write( "t4 = t3-8\r\n" );
document.write( "t4 = 8-8\r\n" );
document.write( "t4 = 0\r\n" );
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document.write( "Then we would substitute 5 for n and 0 for t4 to find t5\r\n" );
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document.write( "tn+1 = tn-8\r\n" );
document.write( "t4+1 = t4-8\r\n" );
document.write( "t5 = t4-8\r\n" );
document.write( "t5 = 0-8\r\n" );
document.write( "t5 = -8\r\n" );
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document.write( "So the 5 terms of the sequence are 24, 16, 8, 0, -8 \r\n" );
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document.write( "Edwin

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