document.write( "Question 391759: if the first term of a geometric sequence is 3/2 and the second and third terms are -3/4 and 3/8, respectively, which of the following represents the nth term of the sequence? \r
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document.write( "a) 3(-1)^n-1/2n
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document.write( "b) 3(-1)^n/2n
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document.write( "c) 3(-1)^n-1/2^n
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document.write( "d) 3(-1)^n/2^n
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document.write( "e) 3(-1)^n-1/2^n+1\r
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document.write( "please provide explanation! \n" );
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Algebra.Com's Answer #277954 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! if the first term of a geometric sequence is 3/2 and the second and third terms are -3/4 and 3/8, respectively, which of the following represents the nth term of the sequence? \n" ); document.write( "---- \n" ); document.write( "A geometric sequence has a common ratio between consecutive terms. \n" ); document.write( "r = (-3/4)/(3/2) = -1/2 \n" ); document.write( "--- \n" ); document.write( "a(n) = ar^(n-1) = (3/2)(-1/2)^(n-1) \n" ); document.write( "a(n) = 3*(-1)^(n-1)/2^(n) \n" ); document.write( "================ \n" ); document.write( "Ans: c \n" ); document.write( "========== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "========== \n" ); document.write( " \n" ); document.write( "a) 3(-1)^n-1/2n \n" ); document.write( "b) 3(-1)^n/2n \n" ); document.write( "c) 3(-1)^n-1/2^n \n" ); document.write( "d) 3(-1)^n/2^n \n" ); document.write( "e) 3(-1)^n-1/2^n+1 \n" ); document.write( " \n" ); document.write( " |