document.write( "Question 1170239: insert eight arithmetic mean between 26 and -10
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Algebra.Com's Answer #795093 by ikleyn(52791)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "In the number line, you have this segment [-10,26] of the length 10 + 26 = 36.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "They want you insert 8 numbers (8 points in the number line) to divide this segment in 9 (nine) equal parts.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "I am sure that you do understand why I am talking about 9 parts: because 9 = 8 + 1.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Next, it is clear for you, that each part must be 36/9 = 4 units long.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It means that your points (numbers) are the terms of an arithmetic progression\r\n" ); document.write( "with the first term of -10 and the common difference of 4\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " -10, -6, -2, 2, . . . \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "and you can continue it further till 26.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then the term of this progression, excluding its endpoints, give you the answer to the problem's question.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved, explained and completed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |