document.write( "Question 1093779: Insert 3 geometric means between 16 and 81 \n" ); document.write( "

Algebra.Com's Answer #708435 by ikleyn(52791) $\"\"$ $\"About$

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document.write( "They want you construct the 5-term geometric progression starting 16 and ending 81:\r\n" );
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document.write( "16 = a,  ar,  ar^2,  ar^3,  ar^4 = 81.\r\n" );
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document.write( "Hence,  r^4 =  = .\r\n" );
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document.write( "Thus  r =  = +/-  is the common ratio of the progression.\r\n" );
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document.write( "So, you have two ways to construct the required progression:\r\n" );
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document.write( "1)  16,   = 24,   = 36,   = 54,   = 81,    and\r\n" );
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document.write( "2)  16, -24, 36, -54, 81.\r\n" );
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\n" ); document.write( "On geometric progressions, see the introductory lessons\r
\n" ); document.write( "\n" ); document.write( "    - Geometric progressions\r
\n" ); document.write( "\n" ); document.write( "    - The proofs of the formulas for geometric progressions \r
\n" ); document.write( "\n" ); document.write( "    - Problems on geometric progressions\r
\n" ); document.write( "\n" ); document.write( "    - Word problems on geometric progressions\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic
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