document.write( "Question 199930: I want to know the difference between a sequence and a progression. Are these two different from a pattern? Can you cite some examples. Is 1,11,111,1111,.... a sequence or a pattern. Are all sequences patterns or it is the other way.Similarly are all sequences progressions or it is the other way. \n" ); document.write( "
Algebra.Com's Answer #150357 by Edwin McCravy(20060)\"\" \"About 
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I want to know the difference between a sequence and a progression.\r
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\n" ); document.write( "\n" ); document.write( " Are these two different from a pattern? Can you cite some examples. Is 1,11,111,1111,... a sequence or a pattern.
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document.write( "Well, the sequence of 9 times each term is\r\n" );
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document.write( "9,99,999,9999,...\r\n" );
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document.write( "And each term of that is one less than each term of this sequence\r\n" );
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document.write( "10,100,1000,10000...\r\n" );
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document.write( "which is the sequence with nth term \"a%5Bn%5D=10%5En\"\r\n" );
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document.write( "So the sequence 9,99,999,9999,... has nth term \"a%5Bn%5D=10%5En-1\"\r\n" );
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document.write( "And each term of the desired sequence 1,11,111,1111,... \r\n" );
document.write( "is \"1%2F9\"th of the coresponding term of that,\r\n" );
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document.write( "So the desired sequence is \"a%5Bn%5D=%2810%5En-1%29%2F9\"\r\n" );
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document.write( "It is both a pattern, progression and a sequence.\r\n" );
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document.write( "Are all sequences patterns or it is the other way.\r\n" );
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document.write( "Similarly are all sequences progressions or it is the other way.\r\n" );
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document.write( "It's the other way around, all progressions are sequences.\r\n" );
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document.write( "But not all sequences are progressions begause not all sequences \r\n" );
document.write( "get larger and larger(i.e., progress).\r\n" );
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document.write( "Edwin
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