document.write( "Question 206237: We define the sequence a recursively by setting a_1 = 10 and a_(i+1) = a_i + 4 for all i>= 1. what is the first five terms of this sequence. \n" ); document.write( "
Algebra.Com's Answer #155857 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
We define the sequence a recursively by setting\r
\n" ); document.write( "\n" ); document.write( "\"a%5B1%5D+=+10\" and \"a%5Bi%2B1%5D\"\"%22%22=+a%5Bi%5D+%2B+4\" for all \"i%3E=+1\".
\n" ); document.write( "what is the first five terms of this sequence.
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document.write( "We are given \"a%5B1%5D=10\".\r\n" );
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document.write( "Now we substitute \"i+=+1\" into\r\n" );
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document.write( "\"a%5Bi%2B1%5D+=+a%5Bi%5D+%2B+4\" and get\r\n" );
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document.write( "\"a%5B1%2B1%5D+=+a%5B1%5D+%2B+4\"\r\n" );
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document.write( "\"a%5B2%5D+=+a%5B1%5D+%2B+4\"\r\n" );
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document.write( "and now we substitute \"a%5B1%5D=10\" and get\r\n" );
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document.write( "\"a%5B2%5D+=+10+%2B+4\"\r\n" );
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document.write( "\"a%5B2%5D+=+14\"\r\n" );
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document.write( "-------------------\r\n" );
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document.write( "Now we substitute \"i+=+2\" into\r\n" );
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document.write( "\"a%5Bi%2B1%5D+=+a%5Bi%5D+%2B+4\" and get\r\n" );
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document.write( "\"a%5B2%2B1%5D+=+a%5B2%5D+%2B+4\"\r\n" );
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document.write( "\"a%5B3%5D+=+a%5B2%5D+%2B+4\"\r\n" );
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document.write( "and now we substitute \"a%5B2%5D=14\" and get\r\n" );
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document.write( "\"a%5B3%5D+=+14+%2B+4\"\r\n" );
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document.write( "\"a%5B3%5D+=+18\"\r\n" );
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document.write( "------------------\r\n" );
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document.write( "Now we substitute \"i+=+3\" into\r\n" );
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document.write( "\"a%5Bi%2B1%5D+=+a%5Bi%5D+%2B+4\" and get\r\n" );
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document.write( "\"a%5B3%2B1%5D+=+a%5B3%5D+%2B+4\"\r\n" );
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document.write( "\"a%5B4%5D+=+a%5B3%5D+%2B+4\"\r\n" );
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document.write( "and now we substitute \"a%5B3%5D=18\" and get\r\n" );
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document.write( "\"a%5B4%5D+=+18+%2B+4\"\r\n" );
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document.write( "\"a%5B4%5D+=+22\"\r\n" );
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document.write( "----------------\r\n" );
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document.write( "Now we substitute \"i+=+4\" into\r\n" );
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document.write( "\"a%5Bi%2B1%5D+=+a%5Bi%5D+%2B+4\" and get\r\n" );
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document.write( "\"a%5B4%2B1%5D+=+a%5B4%5D+%2B+4\"\r\n" );
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document.write( "\"a%5B5%5D+=+a%5B4%5D+%2B+4\"\r\n" );
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document.write( "and now we substitute \"a%5B4%5D=22\" and get\r\n" );
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document.write( "\"a%5B4%5D+=+22+%2B+4\"\r\n" );
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document.write( "\"a%5B4%5D+=+26\"\r\n" );
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document.write( "----------------\r\n" );
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document.write( "Now we substitute \"i+=+4\" into\r\n" );
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document.write( "\"a%5Bi%2B1%5D+=+a%5Bi%5D+%2B+4\" and get\r\n" );
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document.write( "\"a%5B4%2B1%5D+=+a%5B4%5D+%2B+4\"\r\n" );
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document.write( "\"a%5B5%5D+=+a%5B4%5D+%2B+4\"\r\n" );
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document.write( "and now we substitute \"a%5B4%5D=26\" and get\r\n" );
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document.write( "\"a%5B5%5D+=+26+%2B+4\"\r\n" );
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document.write( "\"a%5B5%5D+=+30\"\r\n" );
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document.write( "----------------\r\n" );
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document.write( "So the first five terms are:\r\n" );
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document.write( "\"a%5B1%5D=10\", \"a%5B2%5D+=+14\", \"a%5B3%5D+=+18\", \"a%5B4%5D+=+26\", \"a%5B5%5D+=+30\".\r\n" );
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document.write( "Edwin
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