document.write( "Question 1040752: If 15th and 11th term of an A.P are 3 and 23 respectively. Is 40 the term of the sequence ? \n" ); document.write( "
Algebra.Com's Answer #655647 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! If 15th and 11th term of an A.P are 3 and 23 respectively. Is 40 the term of the sequence ? \n" ); document.write( "Equations: \n" ); document.write( "a + 14d = 3 \n" ); document.write( "a + 10d = 23 \n" ); document.write( "-------------------- \n" ); document.write( "4d = -20 \n" ); document.write( "d = -5 \n" ); document.write( "----- \n" ); document.write( "Then a = 3 -14(-5) = 73 \n" ); document.write( "----- \n" ); document.write( "Is 40 the term of the sequence ? \n" ); document.write( "Comment:: That is a strange question. \n" ); document.write( "General term of the sequence is a(n) = 73 + (n-1)(-5) \n" ); document.write( "--- \n" ); document.write( "Solve, if possible:: \n" ); document.write( "73 + (n-1)(-5) = 40 \n" ); document.write( "5(n-1) = 33 \n" ); document.write( "n-1 = 33/5 \n" ); document.write( "n = 38/5 \n" ); document.write( "---- \n" ); document.write( "No; 40 is not a term of the sequence. \n" ); document.write( "---- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |