6 - 34 + 96 - 384 +... a 1 = 6 , a 2 = a 1 * ( - 4 ) , a 3 = a 2 * ( - 4 ), a 4 = a 3 * ( - 4)...a 5 = - 384 * ( - 4 ) = 1,536a 6 = 1536 * ( - 4 ) = - 6,144a 7 = - 6,144 * ( - 4 ) = 24,576 This is a sum of a geometric sequence:S 7 = 6 - 24 + 96 - 384 + 1,536 - 6,144 + 24,576 = 19,662Another way to settle this:S 7 = a 1 * ( r^n - 1) / ( r - 1 ) = 6 * (( - 4) ^7 - 1 )/ (- 4 - 1)== 6 * (-16,385) / (-5 ) = 19,662


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