1. 2. Prove that Σ (X + a)(Y + b) = Σ XY + a Σ Y +

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2. Prove that Σ (X + a)(Y + b) = Σ XY + a Σ Y + b Σ X + Nab, where a and b are constants. What subscript notation is implied?

3. Two variables, U and V, assume the values U1 = 3, U2 = -2, U3 = 5, and V1 = -4, V2 = -1, V3 = 6, respectively. Calculate (a) ΣUV, (b) Σ(U + 3)(V – 4), (c) ΣV2, (d) (ΣU)(ΣV)2, (e) ΣUV2, ( f ) Σ(U2 – 2V2 + 2), and (g) Σ(U/V).

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1. 2. Prove that Σ (X + a)(Y + b) = Σ XY + a Σ Y +

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