\(\sum_{k=1}^{6} -3(-4)^{k-1} = -3(-4)^{1-1} -3(-4)^{2-1}-3(-4)^{3-1}-3(-4)^{4-1}-3(-4)^{5-1}\)
\(= -3(-4)^{0} -3(-4)^{1}-3(-4)^{2}-3(-4)^{3}-3(-4)^{4}\)
\(= -3 + 12 - 48 +192 - 768\)
\(= -615\)
let me know if I did anything wrong :)
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