document.write( "Question 1207190: The first term of a geometric sequence is 2, and the 4th term is 250. Find the 2 terms between the first and the 4th term. \n" ); document.write( "
Algebra.Com's Answer #844924 by ikleyn(52776)\"\" \"About 
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\n" ); document.write( "The first term of a geometric sequence is 2, and the 4th term is 250.
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document.write( "    \"a%5B1%5D\" = 2,\r\n" );
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document.write( "    \"a%5B4%5D\" = \"a%5B1%5D%2Ar%5E3\" = 250.\r\n" );
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document.write( "Hence,  \r\n" );
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document.write( "    \"2%2Ar%5E3\" = 250\r\n" );
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document.write( "     \"r%5E3\" = 250/2 = 125\r\n" );
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document.write( "      r = \"root%283%2C125%29\" = 5.\r\n" );
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document.write( "The two terms between the first and the 4th terms are\r\n" );
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document.write( "    \"a%5B2%5D\" = \"r%2Aa%5B1%5D\" = 5*2 = 10,\r\n" );
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document.write( "     \"a%5B3%5D\" = \"r%2Aa%5B2%5D\" = 5*10 = 50.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On geometric progressions,  see 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
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