document.write( "Question 257426: The first three terms of an arithmetic sequence, in order, are 2x + 4, 5x – 4, and
\n" ); document.write( "3x + 4. What is the sum of the first ten terms of the sequence?
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Algebra.Com's Answer #189339 by edjones(8007)\"\" \"About 
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3x+4-(2x+4)=x subtract the 1st term from the 3rd term
\n" ); document.write( "The difference between the 2nd and 1st term must be half of x or .5x
\n" ); document.write( "2x+4+ .5x =5x-4
\n" ); document.write( "2.5x=8
\n" ); document.write( "x=3.2
\n" ); document.write( "d=.5*3.2=1.6 difference between each number.
\n" ); document.write( "Now we can find the 10th term.
\n" ); document.write( "\"a%5Bn%5D=dn%2B%28a%5B1%5D-d%29\"
\n" ); document.write( "\"a%5B10%5D=%281.6%2A10%29%2B10.4-1.6\"
\n" ); document.write( "=24.8
\n" ); document.write( "\"S%5Bn%5D=%28n%2F2%29%28a%5B1%5D%2Ba%5Bn%5D%29\" formula for the sum of a finite arithmetic sequence.
\n" ); document.write( "\"S%5B10%5D=%2810%2F2%29%2810.4%2B24.8%29\"
\n" ); document.write( "=176
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\n" ); document.write( "Ed
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