document.write( "Question 1070901: The 3rd term of an arithmetic sequence is 34 and the 15th term is -14.
\n" ); document.write( "Determine the first 2 terms of the squence \n" ); document.write( "

Algebra.Com's Answer #685887 by Fombitz(32388) $\"\"$ $\"About$

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$\"a%5B3%5D=34\"$
\n" ); document.write( " $\"a%5B1%5D%2B%283-1%29%2Ad=34\"$
\n" ); document.write( "1. $\"a%5B1%5D%2B2d=34\"$
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\n" ); document.write( " $\"a%5B15%5D=-14\"$
\n" ); document.write( " $\"a%5B1%5D%2B%2815-1%29%2Ad=-14\"$
\n" ); document.write( "2. $\"a%5B1%5D%2B14d=-14\"$
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\n" ); document.write( "Subtracting 1 from 2,
\n" ); document.write( " $\"a%5B1%5D%2B14d-a%5B1%5D-2d=-14-34\"$
\n" ); document.write( " $\"12d=-48\"$
\n" ); document.write( " $\"d=-4\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"a%5B1%5D%2B2%28-4%29=34\"$
\n" ); document.write( " $\"a%5B1%5D-8=34\"$
\n" ); document.write( " $\"a%5B1%5D=42\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"a%5Bn%5D=42%2B%28n-1%29%28-4%29\"$
\n" ); document.write( " $\"a%5Bn%5D=42-4n%2B4\"$
\n" ); document.write( " $\"a%5Bn%5D=46-4n\"$
\n" ); document.write( "So now use this to find the first two terms.
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