document.write( "Question 78348: 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( "b) Using the formula for the nth term of a geometric sequence, what is the 10th term?\r
\n" ); document.write( "\n" ); document.write( "c) Using the formula for the sum of a geometric sequence, what is the sum of the first 10 terms? \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #56250 by rmromero(383)\"\" \"About 
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\n" ); document.write( "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( " a[k+1]
\n" ); document.write( " r = ________
\n" ); document.write( " a[k]\r
\n" ); document.write( "\n" ); document.write( " 3 9
\n" ); document.write( " = _____ = 3, _____ = 3 , hence r = 3
\n" ); document.write( " 1 3\r
\n" ); document.write( "\n" ); document.write( "b) Using the formula for the nth term of a geometric sequence, what is the 10th term?\r
\n" ); document.write( "\n" ); document.write( " \"a%5Bn%5D\" = \"a%5B1%5D\"\"r%5E%28n-1%29\"
\n" ); document.write( " n = 10, r = 3, \"a%5B1%5D\"= 1
\n" ); document.write( " \"a%5B10%5D\" = \"1+%283%5E%2810-1%29%29\"
\n" ); document.write( " = 1 (3^9)
\n" ); document.write( " = 19683\r
\n" ); document.write( "\n" ); document.write( "c) Using the formula for the sum of a geometric sequence, what is the sum of the first 10 terms? \r
\n" ); document.write( "\n" ); document.write( " \"a%5B1%5D\"(\"r%5En+-+1\")
\n" ); document.write( " \"s%5Bn%5D\" = _____________
\n" ); document.write( " r - 1
\n" ); document.write( "Where r = 3, n = 10, \"a%5B1%5D\" = 1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " 1 (\"3%5E10+-+1\")
\n" ); document.write( " \"s%5B10%5D\" = _____________
\n" ); document.write( " 3 - 1
\n" ); document.write( "
\n" ); document.write( " 1 (59049 - 1)
\n" ); document.write( " = ________________
\n" ); document.write( " 2\r
\n" ); document.write( "\n" ); document.write( " 59048
\n" ); document.write( " = _________
\n" ); document.write( " 2\r
\n" ); document.write( "\n" ); document.write( " = 29524 \n" ); document.write( "
\n" );