document.write( "Question 1173921: Determine the sum of the 15 terms of the arithmetic series where the 5th term is 4 and consecutive terms increase by 3.
\n" ); document.write( "A) 195
\n" ); document.write( "B) 285
\n" ); document.write( "C) 182
\n" ); document.write( "D) 169
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Algebra.Com's Answer #799277 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "Note: Both formal algebraic solutions from other tutors are fine; but there is a faster path to the answer.

\n" ); document.write( "The sum of 15 terms of an arithmetic series is 15 times the middle term.

\n" ); document.write( "In a series with 15 terms, the middle term is the 8th term.

\n" ); document.write( "With 5th term 4 and common difference 3, the 8th term is 4+3(3) = 4+9 = 13.

\n" ); document.write( "ANSWER: The sum is 15(13) = 195.

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