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.
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document.write( "A) 195
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document.write( "B) 285
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document.write( "C) 182
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document.write( "D) 169 \n" );
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Algebra.Com's Answer #799277 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \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. \n" ); document.write( " \n" ); document.write( " |