document.write( "Question 422414: The sum of a finite geometric sequence for n terms with common ratio r and initial term a1 is:\r
\n" ); document.write( "\n" ); document.write( "s(n)=a1 (1-r^n/1-r)\r
\n" ); document.write( "\n" ); document.write( "Find the sum of the first 10 terms of 4, 2, 1, 1/2, 1/4\r
\n" ); document.write( "\n" ); document.write( "I am EXTREMELY stuck and don't know where to even begin! All help is greatly appreciated! thanks! \n" ); document.write( "

Algebra.Com's Answer #294854 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!


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document.write( "Hi
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document.write( "Geometric sequence {4,2,1,1/2,1/4...}
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document.write( "what is the relationship between one term to the next?? r = 1/2
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document.write( "a1 = 4
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document.write( " = 4*(1-.5^10)/.5 = 8*.999 = 7.992 \r
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document.write( "Note: with r <|1|  Sum = a1/(1-r) = 4/.5 = 8 approximates the sum!
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document.write( "The sum of an infinite number of terms of this sequence = 8
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document.write( "(1/2)^20 = .00000095 for example,
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document.write( " demonstrates what happens to value of (1-r^20) as n gets large  \n" );
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