document.write( "Question 695716: In a geometric sequence, the fourth term is -4, and the eighth term is -324. What is the tenth term? \n" ); document.write( "
Algebra.Com's Answer #428624 by mananth(16946)\"\" \"About 
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4th. term =-4\r
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\n" ); document.write( "\n" ); document.write( "The nth term of a Geometric Progression is given by\r
\n" ); document.write( "\n" ); document.write( "\"Tn+=ar%5E%28n-1%29\"
\n" ); document.write( "\"t4=ar%5E3\"
\n" ); document.write( "-4=ar^3.................(1)\r
\n" ); document.write( "\n" ); document.write( "\"T8++=+ar%5E7\"
\n" ); document.write( "-324=ar^7...............(2)\r
\n" ); document.write( "\n" ); document.write( "Divide (2) by (1)\r
\n" ); document.write( "\n" ); document.write( "\"%28-324%2F-4%29+=+%28ar%5E7%2Far%5E3%29\"\r
\n" ); document.write( "\n" ); document.write( "\"81=+r%5E4\"\r
\n" ); document.write( "\n" ); document.write( "r=4\r
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\n" ); document.write( "\n" ); document.write( "plug r=4 in (1)\r
\n" ); document.write( "\n" ); document.write( "-4=ar^3
\n" ); document.write( "-4=a*64
\n" ); document.write( "a=-1/16\r
\n" ); document.write( "\n" ); document.write( "t10= ar^9\r
\n" ); document.write( "\n" ); document.write( "\"t10+=+%28-1%2F16%294%5E9\"
\n" ); document.write( "t10 =-16384
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