document.write( "Question 82098This question is from textbook
\n" ); document.write( ": find the common ratio of an infinite geometric series with first term 6 and with sum 7.5 \n" ); document.write( "

Algebra.Com's Answer #58809 by funmath(2933) $\"\"$ $\"About$

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find the common ratio of an infinite geometric series with first term 6 and with sum 7.5
\n" ); document.write( "The formula for finding the sume of an infinite series is: $\"highlight%28S=a%2F%281-r%29%29\"$ , where S is sum, a is the first term, and r is the common ratio.
\n" ); document.write( "In your case, S=7.5 and a=6
\n" ); document.write( " $\"7.5=6%2F%281-r%29\"$
\n" ); document.write( " $\"7.5%281-r%29=6%2F%281-r%29%2A%281-r%29\"$
\n" ); document.write( " $\"7.5-7.5r=6\"$
\n" ); document.write( " $\"7.5-7.5-7.5r=6-7.5\"$
\n" ); document.write( " $\"-7.5r=-1.5\"$
\n" ); document.write( " $\"-7.5r%2F-7.5=-1.5%2F-7.5\"$
\n" ); document.write( " $\"highlight%28r=1%2F5%29\"$ or in decimal form $\"highlight%28r=.2%29\"$
\n" ); document.write( "Happy Calculating!!!! \n" ); document.write( "

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