document.write( "Question 1087012: Find the formula for the nth term of the geometric sequence with a base 2= -18 and a base 5= 144 \n" ); document.write( "

Algebra.Com's Answer #701281 by ikleyn(52786) $\"\"$ $\"About$

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document.write( " =  = -18,\r\n" );
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document.write( " =  = 144.\r\n" );
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document.write( "====>   =  =  = -8  ====>  r = -2.\r\n" );
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document.write( "Thus we found that the common ratio of the progression is -2.\r\n" );
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document.write( "Then  =  = 9.\r\n" );
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document.write( "The progression is 9, -18, 36, -72, 144 . . . \r\n" );
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document.write( "The formula for the n-th term is \r\n" );
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document.write( " = ,  n = 1, 2, 3, . . . \r\n" );
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\n" ); document.write( "\n" ); document.write( "See introductory lessons on geometric progressions in this site:\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
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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 \"Geometric progressions\".\r
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