document.write( "Question 760532: find three consecutive terms in AP such that their sum is 36 and the third term exceeds the first and the secnd term by two
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Algebra.Com's Answer #462775 by malglu(63)![]() ![]() ![]() You can put this solution on YOUR website! let the three terms be \r \n" ); document.write( "\n" ); document.write( "x y and x+y+2\r \n" ); document.write( "\n" ); document.write( "added altogether they = 36, so 2x+2y = 34\r \n" ); document.write( "\n" ); document.write( "now in an AP there is a common difference between any two consecutive terms, so x+y+2 - y = y-x tidy this up and you get y=2x+2 \n" ); document.write( "substitute this into 2x + 2y =34 to elliminate the y term, and you get \n" ); document.write( "6x = 30, so x =5\r \n" ); document.write( "\n" ); document.write( "substitute this into any of the above, to get y = 12\r \n" ); document.write( "\n" ); document.write( "so the three terms are\r \n" ); document.write( "\n" ); document.write( "5 12 and 19 \n" ); document.write( " \n" ); document.write( " |