document.write( "Question 1175257: A geometric progression has a first term of a, common ratio of r and its 6th term is 768. Another geometric progression has a first term of a, common ratio of 6r and its 3rd term is 3456. Evaluate a and r. \n" ); document.write( "

Algebra.Com's Answer #800852 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi\r\n" );
document.write( "an = ar^(n -1)\r\n" );
document.write( "a3 = a(6r)^2 = 3465 = 36ar^2  a = 3456/(36r^2)\r\n" );
document.write( "a6= ar^(6 -1) = ar^5 = \r\n" );
document.write( " r^3 = 768(36/3456) = 8\r\n" );
document.write( "  r = 2   and a = 24        \r\n" );
document.write( "Wish You the Best in your Studies.\r\n" );
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