document.write( "Question 82382This question is from textbook
\n" ); document.write( ": Consider a sequence 4, x, 9, ... with x>0
\n" ); document.write( "If the sequence is geometic, find (a) the value of x, (b) the value of t 6, (c) a formula for t n and (d) the value of S 6 \n" ); document.write( "
Algebra.Com's Answer #59015 by stanbon(75887)\"\" \"About 
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Consider a sequence 4, x, 9, ... with x>0
\n" ); document.write( "If the sequence is geometic, find (a) the value of x, (b) the value of t 6, (c) a formula for t n and (d) the value of S 6
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\n" ); document.write( "r=x/4=9/x
\n" ); document.write( "Therefore x^2=36 and x=6.
\n" ); document.write( "Therefore r=6/4=3/2
\n" ); document.write( "-----------------
\n" ); document.write( "t(6) = [t(1)]
\n" ); document.write( "t(6) = 4*(3/2)^5 = 30.375
\n" ); document.write( "---------------
\n" ); document.write( "t(n) = [t(1)][r^(n-1)]
\n" ); document.write( "--------------
\n" ); document.write( "S(n) = [r^(n+1)-1]/[r-1]
\n" ); document.write( "S(6) = [(3/2)^7-1]/[(3/2)-1]
\n" ); document.write( "S(6) = [16.0859...]/[0.5]=32.172
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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