document.write( "Question 714792: An infinite geometric series has the first term 195 and a common ratio -0.59.
\n" ); document.write( "What is the sum of infinity of this series? \n" ); document.write( "

Algebra.Com's Answer #439142 by KMST(5328) $\"\"$ $\"About$

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The sum of the first $\"n\"$ terms of such a geometric sequence is
\n" ); document.write( " $\"S%5Bn%5D=195%281-%28-0.59%29%5En%29%2F%281-%28-0.59%29%29=195%281-%28-0.59%29%5En%29%2F1.59\"$ \r
\n" ); document.write( "\n" ); document.write( "As $\"n\"$ increases towards infinity, $\"%28-0.59%29%5En\"$ decreases towards zero,
\n" ); document.write( "so the sum of infinity of that series is
\n" ); document.write( " $\"195%2A1%2F1.59=195%2F1.59=6500%2F53\"$ = approx. 122.64 \n" ); document.write( "

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