document.write( "Question 823499: The sum of the first n terms of the Arithmetic Progression 13, 16.5 , 20 is the same as the sum of the first n terms of the Arithmetic progression 3 , 7 , 11 .calculate n. \n" ); document.write( "
Algebra.Com's Answer #495592 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\n" ); document.write( "The sum of the first n terms of the Arithmetic Progression 13, 16.5 , 20
\n" ); document.write( "is the same as the sum of the first n terms of the Arithmetic progression 3, 7, 11
\n" ); document.write( "calculate n.
\n" ); document.write( "\"S%5Bn%5D=%28n%2F2%29%282%2Aa%5B1%5D%2B+%28n-1%29d%29\"
\n" ); document.write( "\"%28n%2F2%29%2826+%2B+%28n-1%293.5%29+=%28n%2F2%29%283+%2B+%28n-1%294%29++%29\" |Multiplying thru by 2/n
\n" ); document.write( "\"26+%2B+%28n-1%293.5+=+3+%2B+%28n-1%294++\"
\n" ); document.write( " 26 + 3.5n - 3.5 = 3 + 4n - 4
\n" ); document.write( " 26 - 3.5 +1= .5n
\n" ); document.write( " 23.5 = .5n
\n" ); document.write( " n = 47
\n" ); document.write( " CHECKING our answer***
\n" ); document.write( " \"26+%2B+%28n-1%293.5+=+3+%2B+%28n-1%294++%29\"
\n" ); document.write( " \"+26+%2B+%2846%293.5+=+3+%2B+%2846%294++\"
\n" ); document.write( " \"+187+=+187%29\"
\n" ); document.write( " \n" ); document.write( "
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