document.write( "Question 590429: How do I prove the following sequence is geometric?
\n" ); document.write( "tn = 24 x (-1/2)n-1 \n" ); document.write( "

Algebra.Com's Answer #375156 by Theo(13342) $\"\"$ $\"About$

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if it has a common ratio then it's geometric.
\n" ); document.write( "if it has a common difference then it's arithmetic.
\n" ); document.write( "your equation is:
\n" ); document.write( "Tn = 24 x (-1/2)^(n-1)
\n" ); document.write( "your common ratio looks like it's (-1/2)
\n" ); document.write( "let's see how this works.
\n" ); document.write( "T1 = 24 * (-1/2)^0 = 24 * 1 = 24
\n" ); document.write( "T2 = 24 * (-1/2)^1 = 24 * -1/2 = -12
\n" ); document.write( "T3 = 24 * (-1/2)^2 = 24 * 1/4 = 6
\n" ); document.write( "T4 = 24 * (-1/2)^3 = 24 * -1/8 = -3
\n" ); document.write( "if you look at your number sequence you will see that the common ratio is (-1/2)
\n" ); document.write( "24 * (-1/2) = -12 * (-1/2) = 6 * (-1/2) = -3, etc.
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