document.write( "Question 65739: Please help me figure out this word problem. Considering yourself, your parents, your grandparents, and so on, back to your grandparents with the workd \"great\" used in front 40 times. What is the total number of people that you are considering. Thanks for your help. \n" ); document.write( "
Algebra.Com's Answer #46453 by stanbon(75887)\"\" \"About 
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Parents=2
\n" ); document.write( "Grand parents=4=2^2
\n" ); document.write( "\"Great\" starts with 2^3 people
\n" ); document.write( "Each generation before that multiplies by 2
\n" ); document.write( "The last generation you want has 2^3*2^39=2^42
\n" ); document.write( "which is a very large number.
\n" ); document.write( "Comment: I can't tell if you are starting the count with yourself:
\n" ); document.write( "if you are the total number is:
\n" ); document.write( "1+2+2^2+2^3+...+2^42
\n" ); document.write( "Using the sum formula with r=2 and n=41 the sum is:
\n" ); document.write( "S(41)=1[2^(42)-1]/[2-1]
\n" ); document.write( "=2^42-1
\n" ); document.write( "=4.398046511x10^12
\n" ); document.write( "Cheers,
\n" ); document.write( "stan H.
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