document.write( "Question 39455: Please help.
\n" ); document.write( "2) Use the geometric sequence of numbers 1, 3, 9, 27, … to find the following:
\n" ); document.write( "a) What is r, the ratio between 2 consecutive terms? \r
\n" ); document.write( "\n" ); document.write( "Show work in this space. \r
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\n" ); document.write( "\n" ); document.write( "b) Using the formula for the nth term of a geometric sequence, what is the 10th term?
\n" ); document.write( "Answer: the sum of the first 10 terms is: Show work in this space. \r
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\n" ); document.write( "\n" ); document.write( "c) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?
\n" ); document.write( "Answer: Show work in this space. \r
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Algebra.Com's Answer #24933 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
) Use the geometric sequence of numbers 1, 3, 9, 27, … to find the following:
\n" ); document.write( "a) What is r, the ratio between 2 consecutive terms?
\n" ); document.write( "Show work in this space.
\n" ); document.write( "Divide any term by the term preceding it to find \"r\".
\n" ); document.write( "For example r=9/3=3 \r
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\n" ); document.write( "\n" ); document.write( "b) Using the formula for the nth term of a geometric sequence, what is the 10th term?
\n" ); document.write( "Answer: The nth term is a(n)=a(1)r^(n-1) where a(1) is the 1st term.
\n" ); document.write( "a(10)=a(1)r^(10-1)
\n" ); document.write( "a(10)=(1)3^9=19683\r
\n" ); document.write( "\n" ); document.write( "c) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?
\n" ); document.write( "Answer: Show work in this space.
\n" ); document.write( "The sum of n terms is S(n)=a(1)[(r^(n)-1)/(r-1)]
\n" ); document.write( "a(1) means the 1st term.
\n" ); document.write( "So, S(10)=(1)[3^(10)-1)/(3-1)]=[(59049-1)/2]=29524
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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