document.write( "Question 924383: QUESTIONS : write down the nth term of each sequences as suggested by the pattern of the sequence. 1, 1/2, 3, 1/4, 5, 1/6, 7, 1/8...\r
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document.write( "please help me to find the solution. \n" );
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Algebra.Com's Answer #560794 by Theo(13342)![]() ![]() You can put this solution on YOUR website! it looks like every odd term is being raised by 2 every time. \n" ); document.write( "you get 1, 3, 5, 7, ..... which would indicate that the next odd term is 9 and the next odd term after that is 11, etc.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "it looks like every even term is being raised by 2 in the denominator. \n" ); document.write( "you get 1/2, 1/4, 1/6, 1/8, ... which would indicate that the next even term is 1/10 and the next even term after that is 1/12.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if n is odd, then the formula appears to be An = n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if n is even, then the formula appears to be An = 1/n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "n = 1, An = 1 \n" ); document.write( "n = 2, An = 1/2 \n" ); document.write( "n = 3, An = 3 \n" ); document.write( "n = 4, An = 1/4 \n" ); document.write( "n = 5, An = 5 \n" ); document.write( "n = 6, An = 1/6 \n" ); document.write( "n = 7, An = 7 \n" ); document.write( "n = 8, An = 1/8 \n" ); document.write( "n = 9, An = 9 \n" ); document.write( "n = 10, An = 1/10 \n" ); document.write( "n = 11, An = 11 \n" ); document.write( "n = 12, An = 1/12 \n" ); document.write( "etc.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "it's not clear if these 2 formulas can be combined into one universal formula for every n.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "at least i haven't been able to do so.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "with these 2 formulas, you should be able to find An for any n in this sequence. \n" ); document.write( "when n is odd, An = n \n" ); document.write( "when n is even, An = 1/n\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |