document.write( "Question 1126167: If the 100th term of an arithmetic sequence is 213, and its common difference is 2, then
\n" ); document.write( "its first term
\n" ); document.write( "a^1=
\n" ); document.write( "a^2=
\n" ); document.write( "a^3=
\n" ); document.write( "

Algebra.Com's Answer #742523 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "For arithmetic sequences, we use the formula \r
\n" ); document.write( "\n" ); document.write( "\"a%5Bn%5D=a%5B1%5D%2B%28n-1%29d\" \r
\n" ); document.write( "\n" ); document.write( "where \"a%5Bn%5D+\" is the term we are trying to find, \"a%5B1%5D+\"is the first term, and \"d\" is the difference between consecutive terms, and \"n\" is the number of the term. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If the 100th term of an arithmetic sequence is \"a%5B100%5D=213\", \"n=100\", and its common difference is \"d=2\", then its first term\r
\n" ); document.write( "\n" ); document.write( "\"213=a%5B1%5D%2B%28100-1%292\"
\n" ); document.write( "\"213=a%5B1%5D%2B%2899%292\"
\n" ); document.write( "\"213=a%5B1%5D%2B198\"
\n" ); document.write( "\"a%5B1%5D=213-198\"
\n" ); document.write( "\"a%5B1%5D=15\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"a%5B2%5D=a%5B1%5D%2B%282-1%29d\"
\n" ); document.write( "\"a%5B2%5D=15%2B%281%292\"
\n" ); document.write( "\"a%5B2%5D=17\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"a%5B3%5D=+19\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );