document.write( "Question 1008007: The 2nd term of an A.P is (a-b) and 4th term is (a+b), find the 5th term and sum of the first 5 terms of the A.P \n" ); document.write( "
Algebra.Com's Answer #623774 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
d, common difference
\n" ); document.write( "index 2, term is a-b
\n" ); document.write( "index 4, term is a+b\r
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\n" ); document.write( "\n" ); document.write( "\"%28a%2Bb%29-%28a-b%29=2d\"
\n" ); document.write( "\"2b=2d\"
\n" ); document.write( "\"highlight_green%28b=d%29\"\r
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\n" ); document.write( "\n" ); document.write( "The term at index 1 is \"%28a-b%29-d=%28a-b%29-b=a-b-b=highlight_green%28a-2b%29\".
\n" ); document.write( "The general term for the sequence using n for iNdex is \"highlight%28%28a-2b%29%2B%28n-1%29b%29\".\r
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\n" ); document.write( "\n" ); document.write( "The term at index 5?
\n" ); document.write( "\"a-2b%2B%285-1%29b\"
\n" ); document.write( "\"a-2b%2B4b\"
\n" ); document.write( "\"highlight%28a%2B2b%29\"\r
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\n" ); document.write( "\n" ); document.write( "You can look for the formula for sum of an arithmetic sequence to answer sum of the
\n" ); document.write( "first five terms. You might also just use this:
\n" ); document.write( "\"highlight_green%28%28firstTerm%2BlastTerm%29%28n%2F2%29%29\", and you know n=5 here.
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