document.write( "Question 1162998: An arithmetic series has a sum of -823.5 with 27 terms. The first term is 5. Determine t27 \n" ); document.write( "

Algebra.Com's Answer #786937 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "The sum of the terms in an arithmetic sequence is the number of terms, multiplied by the average of the terms.

\n" ); document.write( "In an arithmetic sequence, the average of all the terms is the average of the first and last terms.

\n" ); document.write( "So in this problem, if x is the 27th (last) term,

\n" ); document.write( " $\"-823.5+=+27%28%285%2Bx%29%2F2%29\"$
\n" ); document.write( " $\"-1647+=+27%285%2Bx%29\"$
\n" ); document.write( " $\"x%2B5+=+-1647%2F27+=+-61\"$
\n" ); document.write( " $\"x+=+-66\"$

\n" ); document.write( "ANSWER: The 27th term is -66.

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