document.write( "Question 874686: A gardener brought 5 rabbits, after 2 months rabbits became 10, and after 4 months they became 20. If the growth continues on the same ratio, what would be the amount of rabbits after 1 year? \n" ); document.write( "

Algebra.Com's Answer #527646 by dkppathak(439) $\"\"$ $\"About$

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A gardener brought 5 rabbits, after 2 months rabbits became 10, and after 4 months they became 20. If the growth continues on the same ratio, what would be the amount of rabbits after 1 year?
\n" ); document.write( "t1 =5
\n" ); document.write( "t2=10
\n" ); document.write( "t3=20
\n" ); document.write( "series will be
\n" ); document.write( "5+ 10 +20 +------ --+13th
\n" ); document.write( " this series will be GP
\n" ); document.write( "a=5 r= 2 n= 13
\n" ); document.write( "general term = ar^n-1
\n" ); document.write( " = 5. 2^13-1
\n" ); document.write( " =5.2^12
\n" ); document.write( " =5x4096 =20480
\n" ); document.write( " number of rabbits will be = 20480
\n" ); document.write( "total rabbit will be sum of GP =a(r^n -1)/r-1
\n" ); document.write( " = 5(2^13 -1)/2-1
\n" ); document.write( " = 5(8192-1)/2-1
\n" ); document.write( " =5x8191 =40955
\n" ); document.write( "answer number of rabbit will be after 1 years =20480 rabbits
\n" ); document.write( "total number of rabbit after 1 year =40955 rabbit
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