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)![]() ![]() You can put this solution on YOUR website! 4th. term =-4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The nth term of a Geometric Progression is given by\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "-4=ar^3.................(1)\r \n" ); document.write( "\n" ); document.write( " \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( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r=4\r \n" ); document.write( " \n" ); document.write( " \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( " \n" ); document.write( "t10 =-16384 \n" ); document.write( " |