document.write( "Question 1197590: What is the infinite sum from k-1 to infinity of (-6÷7)^k-1 \n" ); document.write( "

Algebra.Com's Answer #830916 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "The common ratio is (-6/7); the absolute value of that ratio is less than 1, so the infinite sum exists.

\n" ); document.write( "The formula for the sum of an infinite geometric progression is

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document.write( "            first term\r\n" );
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document.write( "   1 minus the common difference

\n" ); document.write( "The first term and the common difference are both (-6/7). You can do the simple calculation yourself.

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