document.write( "Question 37829: In an arithmetic sequence, a1=23 and a8=44. Find the fifth term a5. I have no idea how to do these problems. Please show me the steps to solve this problem. Thank you. I am getting 35 for an answer and don't think that I am right. \n" ); document.write( "
Algebra.Com's Answer #23333 by longjonsilver(2297)![]() ![]() You can put this solution on YOUR website! a1=23 \n" ); document.write( "a8=44\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "right then: first term of a AS or AP is a. \n" ); document.write( "and 8th term is a+7d\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so we have a=23 and a+7d=44.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, subtract them: \n" ); document.write( "a+7d - a = 44-23 \n" ); document.write( "7d = 21 \n" ); document.write( "so d = 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and hence 5th term, written as a+4d, is: \n" ); document.write( "a+4d \n" ); document.write( "23 + 4(3) \n" ); document.write( "23 + 12 \n" ); document.write( "35\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "jon. \n" ); document.write( " \n" ); document.write( " |