document.write( "Question 878349: Find the number of terms and the values of the arithmetic means that should be inserted between 1 and 50 in order to make the sum of the seris equal 459. \n" ); document.write( "
Algebra.Com's Answer #530157 by richwmiller(17219)\"\" \"About 
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S = ½(a + an)n
\n" ); document.write( "459 = ½(1 + 50)n
\n" ); document.write( "918=51n
\n" ); document.write( "18=n
\n" ); document.write( "S = ½(2a + (n-1)d)n
\n" ); document.write( "459 = ½(2 + (17)d)18
\n" ); document.write( "459=9*(2+17d)
\n" ); document.write( "459/9=2+17d\r
\n" ); document.write( "\n" ); document.write( "49=17d
\n" ); document.write( "49/17=d
\n" ); document.write( "1+49/17=66/17 is the second term\r
\n" ); document.write( "\n" ); document.write( "add 66/17 to the last term
\n" ); document.write( "There are 18 terms altogether including 1 and 50
\n" ); document.write( "1 1
\n" ); document.write( "2 3.88235294
\n" ); document.write( "3 6.76470588
\n" ); document.write( "4 9.64705882
\n" ); document.write( "5 12.5294118
\n" ); document.write( "6 15.4117647
\n" ); document.write( "7 18.2941176
\n" ); document.write( "8 21.1764706
\n" ); document.write( "9 24.0588235
\n" ); document.write( "10 26.9411765
\n" ); document.write( "11 29.8235294
\n" ); document.write( "12 32.7058824
\n" ); document.write( "13 35.5882353
\n" ); document.write( "14 38.4705882
\n" ); document.write( "15 41.3529412
\n" ); document.write( "16 44.2352941
\n" ); document.write( "17 47.1176471
\n" ); document.write( "18 50\r
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