document.write( "Question 43317: I just don't even know what to say..................help!!!!!!!!!!!!!!!!!
\n" ); document.write( "Given the following recursively defined sequence, find the fifth term.\r
\n" ); document.write( "\n" ); document.write( "a_1 = -4
\n" ); document.write( "a_2 = -4
\n" ); document.write( "a(_n+2)= a(_n+1)-4a_n\r
\n" ); document.write( "\n" ); document.write( " a. 28
\n" ); document.write( " b. 764
\n" ); document.write( " c. -20
\n" ); document.write( " d. -308
\n" ); document.write( " e. None of the others
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Algebra.Com's Answer #28346 by psbhowmick(878)\"\" \"About 
You can put this solution on YOUR website!
\"a%5B1%5D+=+-4\"
\n" ); document.write( "\"a%5B2%5D+=+-4\"\r
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\n" ); document.write( "\n" ); document.write( "Now,
\n" ); document.write( "\"a%5Bn%2B2%5D+=+a%5Bn%2B1%5D+-+4a%5Bn%5D\"\r
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\n" ); document.write( "\n" ); document.write( "When, n = 1,
\n" ); document.write( "\"a%5B1%2B2%5D+=+a%5B1%2B1%5D-4a%5B1%5D\"
\n" ); document.write( "or \"a%5B3%5D+=+a%5B2%5D-4a%5B1%5D\"
\n" ); document.write( "or \"a%5B3%5D+=+-4+-4%2A%28-4%29+=+12\"\r
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\n" ); document.write( "\n" ); document.write( "When, n = 2,
\n" ); document.write( "\"a%5B2%2B2%5D+=+a%5B2%2B1%5D-4a%5B2%5D\"
\n" ); document.write( "or \"a%5B4%5D+=+a%5B3%5D-4a%5B2%5D\"
\n" ); document.write( "or \"a%5B4%5D+=+12+-4%2A%28-4%29+=+28\"\r
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\n" ); document.write( "\n" ); document.write( "When, n = 3,
\n" ); document.write( "\"a%5B3%2B2%5D+=+a%5B3%2B1%5D-4a%5B3%5D\"
\n" ); document.write( "or \"a%5B5%5D+=+a%5B4%5D-4a%5B3%5D\"
\n" ); document.write( "or \"a%5B5%5D+=+28+-+4%2A12+=+-20\"\r
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\n" ); document.write( "\n" ); document.write( "Hence, (c) is correct.
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