document.write( "Question 354971: yes! i need help with this problem the sum of two consecutive terms in the arithmetic sequence 1,4,7,10,,, is 299 find these two terms? thank you! \n" ); document.write( "
Algebra.Com's Answer #253551 by robertb(5830) You can put this solution on YOUR website! \n" ); document.write( "asubn = asub1 + (n-1)d \n" ); document.write( "asub(n+1) = asub1 + nd. \n" ); document.write( "Adding corresponding sides, \n" ); document.write( "asubn + asub(n+1) = 2asub1 + (2n-1)d. \n" ); document.write( "then \n" ); document.write( "299 = 2asub1 + (2n-1)d \n" ); document.write( "299 = 2*(1) + (2n-1)*3 \n" ); document.write( "299 = 2 + (2n-1)3 \n" ); document.write( "297 = (2n-1)3 \n" ); document.write( "99 = 2n-1 \n" ); document.write( "100 = 2n \n" ); document.write( "n = 50. \n" ); document.write( "so its the 50th term (148) and the 51st term (151). \n" ); document.write( " |