document.write( "Question 969587: Find the first 40 terms of the sequence defined by A(n+1) = {(1/2)An if An is an odd number and 3An + 1 if An is an even number} and A1 = 67, A2= 134. \n" ); document.write( "
Algebra.Com's Answer #592462 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "A1 = 67\r\n" ); document.write( "A2 = 134 \r\n" ); document.write( "134 is even, so A3 = ½·A2 = ½·(134) = 67\r\n" ); document.write( "67 is odd, so A4 = 3A3+1 = 3·67+1 = 202\r\n" ); document.write( "202 is even, so A5 = ½·A4 = ½·(202) = 101\r\n" ); document.write( "101 is odd, so A6 = 3A5+1 = 3·101+1 = 304\r\n" ); document.write( "304 is even, so A7 = ½·A6 = ½·(304) = 152\r\n" ); document.write( "152 is even, so A8 = ½·A7 = ½·(152) = 76\r\n" ); document.write( "76 is even, so A9 = ½·A8 = ½·(76) = 38\r\n" ); document.write( "38 is even, so A10 = ½·A9 = ½·(38) = 19\r\n" ); document.write( "19 is odd, so A11 = 3A10+1 = 3·19+1 = 58\r\n" ); document.write( "58 is even, so A12 = ½·A11 = ½·(58) = 29\r\n" ); document.write( "29 is odd, so A13 = 3A12+1 = 3·29+1 = 88\r\n" ); document.write( "88 is even, so A14 = ½·A13 = ½·(88) = 44\r\n" ); document.write( "44 is even, so A15 = ½·A14 = ½·(44) = 22\r\n" ); document.write( "22 is even, so A16 = ½·A15 = ½·(22) = 11\r\n" ); document.write( "11 is odd, so A17 = 3A16+1 = 3·11+1 = 34\r\n" ); document.write( "34 is even, so A18 = ½·A17 = ½·(34) = 17\r\n" ); document.write( "17 is odd, so A19 = 3A18+1 = 3·17+1 = 52\r\n" ); document.write( "52 is even, so A20 = ½·A19 = ½·(52) = 26\r\n" ); document.write( "26 is even, so A21 = ½·A20 = ½·(26) = 13\r\n" ); document.write( "13 is odd, so A22 = 3A21+1 = 3·13+1 = 40\r\n" ); document.write( "40 is even, so A23 = ½·A22 = ½·(40) = 20\r\n" ); document.write( "20 is even, so A24 = ½·A23 = ½·(20) = 10\r\n" ); document.write( "10 is even, so A25 = ½·A24 = ½·(10) = 5\r\n" ); document.write( "5 is odd, so A26 = 3A25+1 = 3·5+1 = 16\r\n" ); document.write( "16 is even, so A27 = ½·A26 = ½·(16) = 8\r\n" ); document.write( "8 is even, so A28 = ½·A27 = ½·(8) = 4\r\n" ); document.write( "4 is even, so A29 = ½·A28 = ½·(4) = 2\r\n" ); document.write( "2 is even, so A30 = ½·A29 = ½·(2) = 1\r\n" ); document.write( "1 is odd, so A31 = 3A30+1 = 3·1+1 = 4\r\n" ); document.write( "4 is even, so A32 = ½·A31 = ½·(4) = 2\r\n" ); document.write( "2 is even, so A33 = ½·A32 = ½·(2) = 1\r\n" ); document.write( "1 is odd, so A34 = 3A33+1 = 3·1+1 = 4\r\n" ); document.write( "4 is even, so A35 = ½·A34 = ½·(4) = 2\r\n" ); document.write( "2 is even, so A36 = ½·A35 = ½·(2) = 1\r\n" ); document.write( "1 is odd, so A37 = 3A36+1 = 3·1+1 = 4\r\n" ); document.write( "4 is even, so A38 = ½·A37 = ½·(4) = 2\r\n" ); document.write( "2 is even, so A39 = ½·A38 = ½·(2) = 1\r\n" ); document.write( "1 is odd, so A40 = 3A39+1 = 3·1+1 = 4\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |