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1. finding the nth term of the sequence -2, 4, -8, 16, -32, …

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Hello,


u_(1)= -2 \\ u_(2)= -2 *(-2)=(-2)^2 \\ u_(3)= (-2)^2 *(-2)=(-2)^3 \\ u_(4)= (-2)^3 *(-2)=(-2)^4 \\ ...\\ \boxed{u_(n)= (-2)^n} \\
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