document.write( "Question 842089: The first term of a geometric sequence is 9 and the third term is 4. Find the possible values for the second and fourth terms. \n" ); document.write( "

Algebra.Com's Answer #507353 by fcabanski(1391) $\"\"$ $\"About$

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A geometric sequence is a sequence in which a common factor multiplies each term to get to the next.

\n" ); document.write( "9x = y

\n" ); document.write( "yx = 4

\n" ); document.write( "Solve the two equations for x and y.

\n" ); document.write( "Substitute 9x for y in the second equation.

\n" ); document.write( "9x*x = 4

\n" ); document.write( " $\"9x%5E2+=+4\"$

\n" ); document.write( " $\"x%5E2+=+4%2F9\"$
\n" ); document.write( "x = + or - $\"sqrt%284%2F9%29\"$ = + or - 2/3.\n" ); document.write( "\n" ); document.write( "Either one works. I'll show -2/3. You can try 2/3 on your own.

\n" ); document.write( "9 * -2/3 = 18/3 = -6

\n" ); document.write( "-6 * -2/3 = 12/3 = 4

\n" ); document.write( "4 * -2/3 = -8/3

\n" ); document.write( "Possible sequence: 9, -6, 4, -8/3
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