document.write( "Question 1155543: The second and fifth terms of a geometric progressions are 16 and 2 respectively. Determine the common ratio and the first term \n" ); document.write( "
Algebra.Com's Answer #778141 by math_helper(2461)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "The general form is a, ak, ak^2, ak^3, ... etc.\r
\n" ); document.write( "\n" ); document.write( "Where a=first term (often used with subscripts \"a%5B1%5D\")
\n" ); document.write( " k=common ratio\r
\n" ); document.write( "\n" ); document.write( "Given info:
\n" ); document.write( "\"+k%2Aa%5B1%5D+=+16+\"
\n" ); document.write( "\"+k%5E4%2Aa%5B1%5D+=+2+\"\r
\n" ); document.write( "\n" ); document.write( "Notice that \"+%28k%5E4%2Aa%5B1%5D%29%2F%28k%2Aa%5B1%5D%29+=+k%5E3+=+2%2F16+=+1%2F8+\"
\n" ); document.write( "so \"+k+=+root%283%2C%281%2F8%29%29+=+1%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "Common ratio: \"+highlight%281%2F2%29+\"\r
\n" ); document.write( "\n" ); document.write( "The first term can be found by dividing k*a by k: 16/(1/2) = 32\r
\n" ); document.write( "\n" ); document.write( "First term: \"+highlight%28a%5B1%5D+=+32+%29+\"
\n" ); document.write( " \n" ); document.write( "
\n" );