document.write( "Question 401429: if the 3rd term of a G.P. is the square of its first term and its 5th term is 64, find its first term and the common ration. \n" ); document.write( "
Algebra.Com's Answer #284231 by robertb(5830)\"\" \"About 
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\"a%5B3%5D+=+a%5B1%5D%2Ar%5E2+=+%28a%5B1%5D%29%5E2\"==> \"a%5B1%5D++=r%5E2\".\r
\n" ); document.write( "\n" ); document.write( "Now \"a%5B5%5D+=+a%5B1%5D%2Ar%5E4+=+64\"==> \"r%5E2%2Ar%5E4+=+r%5E6+=+64\" ==> r = -2, 2.\r
\n" ); document.write( "\n" ); document.write( "==> \"a%5B1%5D+=+4\".\r
\n" ); document.write( "\n" ); document.write( "Incidentally there are two G.P.'s that satisfy the initial conditions.
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