document.write( "Question 1208833: (a)0.5+0.25+0.125+.....+9.765625 using formula (i) \n" ); document.write( "

Algebra.Com's Answer #847310 by AnlytcPhil(1806) $\"\"$ $\"About$

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document.write( "I noticed that the decimal you gave 9.765625 when multiplied by 10^-4\r\n" );
document.write( "is indeed an approximation of one of the terms of the series, so maybe you left\r\n" );
document.write( "off the \" x 10^-4 \".  I'll assume your problem was supposed to be:  \r\n" );
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document.write( "Find the sum of this series:\r\n" );
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document.write( "using the formula \r\n" );
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document.write( "We know this is a geometric series with \r\n" );
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document.write( "But first we must find n, the number of terms, using the formula for the\r\n" );
document.write( "nth term:\r\n" );
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document.write( "We solve for n by taking the log base 10 of both sides\r\n" );
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document.write( "We round that to 10\r\n" );
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document.write( "So there are n=10 terms in the series:\r\n" );
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document.write( "Using the formula:\r\n" );
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document.write( " <---ANSWER\r\n" );
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document.write( "So you can see that the sum of the series to 10 terms is \r\n" );
document.write( "getting close to 1.\r\n" );
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document.write( "Edwin

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