document.write( "Question 998294: What is the 30th term of the sequence: -34, -29, -24, -19 \n" ); document.write( "
Algebra.Com's Answer #616084 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Instead of doing your problem for you, I will instead do\r\n" ); document.write( "one just exactly in every detail step-by-step like yours:\r\n" ); document.write( " \n" ); document.write( "What is the 38th term of the sequence: -35, -31, -27, -23 \n" ); document.write( " \r\n" ); document.write( "2nd term - 1st term = (-31)-(-35) = -31+35 = 4\r\n" ); document.write( "3rd term - 2nd term = (-27)-(-31) = -27+31 = 4\r\n" ); document.write( "4th term - 3rd term = (-23)-(-27) = -23+27 = 4\r\n" ); document.write( "\r\n" ); document.write( "Since those are all the same the sequence is arithmetic\r\n" ); document.write( "with common difference d = 4 and first term a1 = -35,\r\n" ); document.write( "and number of term n = 38\r\n" ); document.write( "\r\n" ); document.write( "So substitute a1 = -35, n = 38, and d = 4 in\r\n" ); document.write( "\r\n" ); document.write( "an = a1 + (n-1)d\r\n" ); document.write( "a30 = -35 + (38-1)4\r\n" ); document.write( "a30 = -35 + (37)4\r\n" ); document.write( "a30 = -35 + 148\r\n" ); document.write( "a30 = 113\r\n" ); document.write( "\r\n" ); document.write( "No do yours exactly the same way, step by step.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |