document.write( "Question 195098: Find the missing term of each geometric sequence.\r
\n" ); document.write( "\n" ); document.write( "26. 16, [?] , 4 \r
\n" ); document.write( "\n" ); document.write( "27. 25, [?] , 225\r
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\n" ); document.write( "\n" ); document.write( "28. 2, [?] , 50 \r
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\n" ); document.write( "\n" ); document.write( "30. 3/4, [?] , 3 \r
\n" ); document.write( "\n" ); document.write( "31. 36, [?] , 4 \n" ); document.write( "
Algebra.Com's Answer #146326 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Find the missing term of each geometric sequence.
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document.write( "16, [?] , 4 \r\n" );
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document.write( "let the missing term be x:\r\n" );
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document.write( "\"a%5B1%5D+=+16\", \"a%5B2%5D=x\", \"a%5B3%5D=4\"\r\n" );
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document.write( "Now use the fact that in a geometric sequence,\r\n" );
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document.write( "\"a%5B2%5D%2Fa%5B1%5D=a%5B3%5D%2Fa%5B2%5D\"\r\n" );
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document.write( "\"x%2F16+=+4%2Fx\"\r\n" );
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document.write( "Cross multiply:\r\n" );
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document.write( "\"x%5E2=64\"\r\n" );
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document.write( "\"sqrt%28x%5E2%29=%22+%22%2B-sqrt%2864%29\"\r\n" );
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document.write( "x = ±8\r\n" );
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document.write( "So that one has two possible answers, +8 and -8.\r\n" );
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document.write( "-----------------\r\n" );
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document.write( "25, [?] , 225\r\n" );
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document.write( "let the missing term be x:\r\n" );
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document.write( "\"a%5B1%5D+=+25\", \"a%5B2%5D=x\", \"a%5B3%5D=225\"\r\n" );
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document.write( "Now use the fact that in a geometric sequence,\r\n" );
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document.write( "\"a%5B2%5D%2Fa%5B1%5D=a%5B3%5D%2Fa%5B2%5D\"\r\n" );
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document.write( "\"x%2F25+=+225%2Fx\"\r\n" );
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document.write( "Cross multiply:\r\n" );
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document.write( "\"x%5E2=5625\"\r\n" );
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document.write( "\"sqrt%28x%5E2%29=%22+%22%2B-sqrt%285625%29\"\r\n" );
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document.write( "x = ±75\r\n" );
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document.write( "So that one has two possible answers, +75 and -75. \r\n" );
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document.write( "-----\r\n" );
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document.write( "2, [?] , 50 \r\n" );
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document.write( "let the missing term be x:\r\n" );
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document.write( "\"a%5B1%5D+=+2\", \"a%5B2%5D=x\", \"a%5B3%5D=50\"\r\n" );
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document.write( "Now use the fact that in a geometric sequence,\r\n" );
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document.write( "\"a%5B2%5D%2Fa%5B1%5D=a%5B3%5D%2Fa%5B2%5D\"\r\n" );
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document.write( "\"x%2F2+=+50%2Fx\"\r\n" );
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document.write( "Cross multiply:\r\n" );
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document.write( "\"x%5E2=100\"\r\n" );
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document.write( "\"sqrt%28x%5E2%29=%22+%22%2B-sqrt%28100%29\"\r\n" );
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document.write( "x = ±10\r\n" );
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document.write( "So that one has two possible answers, +10 and -10. \r\n" );
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document.write( "-----\r\n" );
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document.write( "1, [?] , 49 \r\n" );
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document.write( "let the missing term be x:\r\n" );
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document.write( "\"a%5B1%5D+=+1\", \"a%5B2%5D=x\", \"a%5B3%5D=49\"\r\n" );
document.write( "\r\n" );
document.write( "Now use the fact that in a geometric sequence,\r\n" );
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document.write( "\"a%5B2%5D%2Fa%5B1%5D=a%5B3%5D%2Fa%5B2%5D\"\r\n" );
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document.write( "\"x%2F1+=+49%2Fx\"\r\n" );
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document.write( "Cross multiply:\r\n" );
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document.write( "\"x%5E2=49\"\r\n" );
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document.write( "\"sqrt%28x%5E2%29=%22+%22%2B-sqrt%2849%29\"\r\n" );
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document.write( "x = ±7\r\n" );
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document.write( "So that one has two possible answers, +7 and -7. \r\n" );
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document.write( "-----\r\n" );
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document.write( "3/4, [?] , 3 \r\n" );
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document.write( "let the missing term be x:\r\n" );
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document.write( "\"a%5B1%5D+=+3%2F4\", \"a%5B2%5D=x\", \"a%5B3%5D=3\"\r\n" );
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document.write( "Now use the fact that in a geometric sequence,\r\n" );
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document.write( "\"a%5B2%5D%2Fa%5B1%5D=a%5B3%5D%2Fa%5B2%5D\"\r\n" );
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document.write( "\"x%2F%283%2F4%29+=+3%2Fx\"\r\n" );
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document.write( "Cross multiply:\r\n" );
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document.write( "\"x%5E2=%283%2F4%29%283%29\"\r\n" );
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document.write( "\"x%5E2=9%2F4\"\r\n" );
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document.write( "\"sqrt%28x%5E2%29=%22+%22%2B-sqrt%289%2F4%29\"\r\n" );
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document.write( "x = ±\"3%2F2\"\r\n" );
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document.write( "So that one has two possible answers, +\"3%2F2\" and \"-3%2F2\". \r\n" );
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document.write( "-----\r\n" );
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document.write( "36, [?] , 4\r\n" );
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document.write( "let the missing term be x:\r\n" );
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document.write( "\"a%5B1%5D+=+36\", \"a%5B2%5D=x\", \"a%5B3%5D=4\"\r\n" );
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document.write( "Now use the fact that in a geometric sequence,\r\n" );
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document.write( "\"a%5B2%5D%2Fa%5B1%5D=a%5B3%5D%2Fa%5B2%5D\"\r\n" );
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document.write( "\"x%2F36+=+4%2Fx\"\r\n" );
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document.write( "Cross multiply:\r\n" );
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document.write( "\"x%5E2=144\"\r\n" );
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document.write( "\"sqrt%28x%5E2%29=%22+%22%2B-sqrt%28144%29\"\r\n" );
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document.write( "x = ±12\r\n" );
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document.write( "So that one has two possible answers, +12 and -12.\r\n" );
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document.write( "Edwin
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