document.write( "Question 860691: find the common ratio, the first term, and an explicit formula for the nth term. Given a2=3 and a8=192 \n" ); document.write( "
Algebra.Com's Answer #518598 by richwmiller(17219)\"\" \"About 
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arithmetic sequence
\n" ); document.write( "an = a + (n - 1)d
\n" ); document.write( "192 = a + 7d,
\n" ); document.write( "3= a + 2d
\n" ); document.write( "189=5d
\n" ); document.write( "d=37.8
\n" ); document.write( "a = -363/5, d = 189/5
\n" ); document.write( "a=-72.600, d=37.800
\n" ); document.write( "an = -363/5 + (n - 1)*189/5
\n" ); document.write( "geometric sequence
\n" ); document.write( "Tn = t * r^(n - 1)
\n" ); document.write( "192 = t * r^7,
\n" ); document.write( "3 = t * r^2
\n" ); document.write( "r = 2*2^(1/5), t = 3/(4 2^(2/5))
\n" ); document.write( "Tn = 3/(4 2^(2/5)) * 2*2^(1/5)^(n - 1)\r
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