document.write( "Question 25581: i need some help please any one.using the geometric series of numbers 1,1/2,1/4,1/8 what is the ratio between 2 terms,and what would the 10th term be.
\n" ); document.write( "if on a checker board pennies were placed on all squareseg.1 on first square 2on 2nd. 4 on 3rd.how much would have to be placed on the 32nd.square.thanks in advance for your help. \n" ); document.write( "

Algebra.Com's Answer #13714 by longjonsilver(2297) $\"\"$ $\"About$

You can put this solution on YOUR website!
to get the ratio between terms, you can use neighbouring terms.\r
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\n" ); document.write( "\n" ); document.write( "First term = a
\n" ); document.write( "Second term = ar\r
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\n" ); document.write( "\n" ); document.write( "ar/a is r, the common ratio\r
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\n" ); document.write( "\n" ); document.write( "So, first term is 1 and second term is 1/2, so r is (1/2)/1 --> r=1/2\r
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\n" ); document.write( "\n" ); document.write( "10th term is $\"ar%5E9\"$ --> 1*(1/2)^9 --> 1/512\r
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\n" ); document.write( "\n" ); document.write( "Sequence 1, 2, 4, 8, 16, ... are powers of 2: $\"2%5E0\"$ , $\"2%5E1\"$ , $\"2%5E2\"$ etc\r
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\n" ); document.write( "\n" ); document.write( "So, on 32nd square we would have $\"2%5E31\"$ coins. \r
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\n" ); document.write( "\n" ); document.write( "jon.
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