document.write( "Question 844022: Write an arithmetic series with seven terms such that the sum of the series is 64 \n" ); document.write( "
Algebra.Com's Answer #508527 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Write an arithmetic series with seven terms such that \n" ); document.write( "the sum of the series is 64. \n" ); document.write( "Let the 1st term be \"a\"; \n" ); document.write( "Then the 7th term is a + 6d \n" ); document.write( "----------------------------------- \n" ); document.write( "S(7) = (7/2)(a+(a+6d)) = 64 \n" ); document.write( "---- \n" ); document.write( "7(2a+6d) = 128 \n" ); document.write( "7(a+3d) = 64 \n" ); document.write( "---- \n" ); document.write( "7a+21d = 64 \n" ); document.write( "a + 3d = 9.1429 \n" ); document.write( "---- \n" ); document.write( "Let a = 0.1426 \n" ); document.write( "Then d = 3 \n" ); document.write( "---- \n" ); document.write( "0.1429,3.1429,6.1429,9.1429,12.1429,15.1429,18.1429 \n" ); document.write( "================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "==================== \n" ); document.write( " |