document.write( "Question 949999: find next term 16,12,28,8,4?? plz explain ans is 40 but how?? \n" ); document.write( "
Algebra.Com's Answer #581272 by Edwin McCravy(20056) $\"\"$ $\"About$
You can put this solution on YOUR website!
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document.write( "We build the sequence out of this arithmetic sequence \r\n" );
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document.write( "S = 16,12,8,4,0,-4,-8,-12,-16,-20,...\r\n" );
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document.write( "Take the first two terms of the arithmetic sequence S, 16 and 12\r\n" );
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document.write( "Sequence is now: 16, 12\r\n" );
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document.write( "Add the last 2 terms, 16+12 = 28\r\n" );
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document.write( "Sequence is now: 16,12,28\r\n" );
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document.write( "Take the next two terms of the arithmetic sequence S, 8 and 4\r\n" );
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document.write( "Sequence is now: 16,12,28,8,4\r\n" );
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document.write( "Add the last 3 terms, 28+8+4 = 40\r\n" );
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document.write( "That's the answer and a pattern that works.  \r\n" );
document.write( "Just for fun, let's continue the pattern\r\n" );
document.write( "a few more times:\r\n" );
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document.write( "--------------------------\r\n" );
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document.write( "Take the next two terms of the arithmetic sequence S, 0 and -4\r\n" );
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document.write( "Sequence is now: 16,12,28,8,4,40,0,-4\r\n" );
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document.write( "Add the last 4 terms, 4+40+0-4 = 40\r\n" );
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document.write( "Sequence is now: 16,12,28,8,4,40,0,-4,40\r\n" );
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document.write( "Take the next two terms of the arithmetic sequence S, -8 and -12\r\n" );
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document.write( "Sequence is now: 16,12,28,8,4,40,0,-4,40,-8,-12\r\n" );
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document.write( "Add the last 5 terms, 0-4+40-8-12 = 16\r\n" );
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document.write( "Sequence is now: 16,12,28,8,4,40,0,-4,40,-8,-12, 16\r\n" );
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document.write( "Take the next two terms of the arithmetic sequence S, -16 and -20\r\n" );
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document.write( "Sequence is now: 16,12,28,8,4,40,0,-4,40,-8,-12,-16,-20 \r\n" );
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document.write( "Add the last 6 terms, -4+40-8-12-16-20 = -20\r\n" );
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document.write( "Sequence is now: 16,12,28,8,4,40,0,-4,40,-8,-12, 16, -20\r\n" );
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document.write( "That's enough!\r\n" );
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document.write( "Edwin
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