document.write( "Question 1005952: Write down the first term and the common difference of the arithmetic progression whose
\n" ); document.write( "fifth term is 52 and the difference of the 9th and 13th term is 40.
\n" ); document.write( "I've tried and come up with this but I'm pretty certain it's wrong
\n" ); document.write( "Difference between the 13th and 9th term = (a + 12d) – (a + 8d) = 4d = α
\n" ); document.write( "Fifth term is a + 4d = 52
\n" ); document.write( "First term a = 52 – α
\n" ); document.write( "Common difference d = α/4 \n" ); document.write( "
Algebra.Com's Answer #622210 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Write down the first term and the common difference of the arithmetic progression whose
\n" ); document.write( "fifth term is 52 and the difference of the 9th and 13th term is 40.
\n" ); document.write( "I've tried and come up with this but I'm pretty certain it's wrong
\n" ); document.write( "Difference between the 13th and 9th term = (a + 12d) – (a + 8d) = 4d = α
\n" ); document.write( "Fifth term is a + 4d = 52
\n" ); document.write( "First term a = 52 – α
\n" ); document.write( "Common difference d = α/4
\n" ); document.write( "
5th term (\"a%5B5%5D\"):   \"52+=+a%5B1%5D+%2B+4d\" -------- eq (i) - Correct
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document.write( "13th term (\"a%5B13%5D\"): \"a%5B1%5D+%2B+12d\" - Correct
\n" );
document.write( "9th term (\"a%5B9%5D\"):   \"a%5B1%5D+%2B+8d\" - Correct\r
\n" );
document.write( "\n" );
document.write( "Difference of the 13th and 9th terms is 40, with the larger of the 2 being the 13th term, obviously.
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document.write( "This produces: \"a%5B1%5D+%2B+12d+-+%28a%5B1%5D+%2B+8d%29+=+40\"
\n" );
document.write( "\"a%5B1%5D+%2B+12d+-+a%5B1%5D+-+8d+=+40\"
\n" );
document.write( "\"a%5B1%5D+-+a%5B1%5D+%2B+12d+-+8d+=+40\"
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document.write( "4d = 40
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document.write( "d, or common difference = \"40%2F4\", or \"highlight_green%2810%29\"\r
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document.write( "\n" );
document.write( "\"52+=+a%5B1%5D+%2B+4%2810%29\" ---------- Substituting 10 for d in eq (i)
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document.write( "\"52+=+a%5B1%5D+%2B+40\"
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document.write( "\"52+-+40+=+a%5B1%5D\"
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document.write( "1st term, or \"highlight_green%28a%5B1%5D+=+12%29\"\r
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document.write( "Do you see your error? I sure hope so!! \n" );
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