document.write( "Question 82095This question is from textbook
\n" ); document.write( ": find the sum: (1-square root 2)^0 + (1-square root 2)^1 + (1-square root 2)^2 + ... \n" ); document.write( "

Algebra.Com's Answer #58813 by funmath(2933) $\"\"$ $\"About$

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find the sum: (1-square root 2)^0 + (1-square root 2)^1 + (1-square root 2)^2 + ...
\n" ); document.write( "The sum of an infinite series is found with the formula: $\"highlight%28S=a%2F%281-r%29%29\"$ , where S=sum, a=first term, and r=common ratio
\n" ); document.write( "In this case, a=1 because anything to the 0 power is 1
\n" ); document.write( "r=(1-square root 2)
\n" ); document.write( " $\"S=1%2F%281-%281-sqrt%282%29%29%29\"$
\n" ); document.write( " $\"S=1%2F%281-1%2Bsqrt%282%29%29\"$
\n" ); document.write( " $\"S=1%2Fsqrt%282%29\"$ Some teachers would want you to rationalize the denominator.
\n" ); document.write( " $\"S=1%2Asqrt%282%29%2F%28sqrt%282%29%2Asqrt%282%29%29\"$
\n" ); document.write( " $\"S=sqrt%282%29%2F2\"$
\n" ); document.write( "Happy Calculating!!!! \n" ); document.write( "

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