document.write( "Question 979293: i need the last number in the following sequences
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document.write( "3, -3, 12, 4, 20,
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document.write( "7, 16, 8, 27, 9
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document.write( "2,7, 26, 101, 400
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Algebra.Com's Answer #600638 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! i need the last number in the following sequences \n" ); document.write( "3, -3, 12, 4, 20, \n" ); document.write( " \r\n" ); document.write( "let the 6th term = x\r\n" ); document.write( "\r\n" ); document.write( "2nd term - 1st term = (-3)- (3) = -6\r\n" ); document.write( "3rd term - 2nd term = (12)-(-3) = 15\r\n" ); document.write( "4th term - 3rd term = (4)-(12) = -8\r\n" ); document.write( "5th term - 4th term = (20)- (4) = 16 \r\n" ); document.write( "6th term - 5th term = (x)-(16) = -10 \r\n" ); document.write( "\r\n" ); document.write( " x - 16 = -10\r\n" ); document.write( " x = 6 \r\n" ); document.write( "6th term = 6\r\n" ); document.write( "----------------------------------------\r\n" ); document.write( " \n" ); document.write( "7, 16, 8, 27, 9 \n" ); document.write( " \r\n" ); document.write( "The odd numbered terms are obviously going 7,8,9,10,11,12,13,...,\r\n" ); document.write( "adding 1 each time\r\n" ); document.write( "\r\n" ); document.write( "The even numbered terms could be going 16,27,38,49,60,71,...,\r\n" ); document.write( "adding 11 each time.\r\n" ); document.write( "\r\n" ); document.write( "Or, the even numbered terms could be going 42,33,24,15,06,(-1)7...,\r\n" ); document.write( "Subtracting 1 from the base and adding 1 to the exponent each time. Which\r\n" ); document.write( "would be 16,27,16,1,0,-1,... \r\n" ); document.write( "\r\n" ); document.write( "Or, the even numbered terms could be going 24,33,42,51,60,7-1...,\r\n" ); document.write( "Adding 1 to the base and subtracting 1 from the exponent each time. Which\r\n" ); document.write( "would be 16,27,16,5,1,1/7,...\r\n" ); document.write( "\r\n" ); document.write( "There is no way to tell. Since either of the last two ways would make\r\n" ); document.write( "the 5th term be 16, I'd go with 16.\r\n" ); document.write( "\r\n" ); document.write( "But there is no way to be sure it's not the first way, or some other way. It's\r\n" ); document.write( "just whichever way the person who created it happened to have created it.\r\n" ); document.write( "\r\n" ); document.write( "------------------------------\r\n" ); document.write( " \n" ); document.write( "2,7, 26, 101, 400 \n" ); document.write( " \r\n" ); document.write( " 2×4-1 = 8-1 = 7\r\n" ); document.write( " 7×4-2 = 28-2 = 26\r\n" ); document.write( " 26×4-3 = 104-3 = 101\r\n" ); document.write( "101×4-4 = 404-4 = 400\r\n" ); document.write( "400×4-5 = 1600-5 = 1595\r\n" ); document.write( "\r\n" ); document.write( "Answer: 1595\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |