1. Let X =5, X2= 2, X3-3, X4=-5, X5-7. Please find the following sums. Please WRITE...

 

   

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1. Let X₁ =5, X2= 2, X3-3, X4=-5, X5-7. Please find the following sums. Please WRITE OUT what you will add. Start by writing out the sum using X₁, X2, X3, X4, and X5, and THEN plug in the numbers. Do NOT just write down a number - even if you are completely comfortable with summation rules! 5 (a) E Xi i=1 4 w (b) [ Xi i=3 5 (c) Σ X; 2 i=1 5 (d) [(X₁ +0.5) i=1 5 сл (e) ΣXi + 0.5 i=1 5 (f) Σ (3 X; + 4) i=1 1 5 (g) Σ ( X; + 0.5)2 i=1 5 (h) (1/5) [Σ (X₁ -0.5)]² i=1 2. Write the following in summation notation: (a) (X₁ + 3) + (X₂ + 3) + (X3 + 3) +...+ (XN-1 + 3) + (XN + 3) (b) (X₁ + 1) + (X2 + 2) + (X3 + 3) +...+ (XN-1 + N-1) + (XN + N) (c) (X₁ + 3)² + (x₂ + 3)² + (X3 + 3)² +...+ (XN-1 + 3)² + (XN + 3)² (d) (X₁ + Y₁) + (X2 + Y₂) + (X3 + Y3) +...+ (XN-1 + YN-1) + (XN + YN) (e) (X₁ + X₁ Y₁) + (X₂ + X₂Y₂) + (X3 + X3Y3) +...+ (XN-1 + XN-1YN-1) + (XN + XN YN) (f) (X₁-m)² + (x₂ - m)² + (x3 - m)² +...+ (XN-1 - m)² + (XN - m)² (g) (1/N) [(X₁ - m)² + (X₂ - m)² + (x3 - m)² +...+ (XN-1 - m)² + (XN - m)²] (h) c(X₁m)² + c(X₂ - m)² + c(X3 - m)² +...+ c(XN-1 - m)² + c(XN-m)² (i) X₁/(1+r)¹ + X₂ /(1+r)² + X3 /(1+r)³ +...+ XT-1 /(1+r) ™-1 + X₁/(1+r)T Please simplify the following product: (j) X(1+r)(1+r)(1+r)(1+r) 1. Let X₁ =5, X2= 2, X3-3, X4=-5, X5-7. Please find the following sums. Please WRITE OUT what you will add. Start by writing out the sum using X₁, X2, X3, X4, and X5, and THEN plug in the numbers. Do NOT just write down a number - even if you are completely comfortable with summation rules! 5 (a) E Xi i=1 4 w (b) [ Xi i=3 5 (c) Σ X; 2 i=1 5 (d) [(X₁ +0.5) i=1 5 сл (e) ΣXi + 0.5 i=1 5 (f) Σ (3 X; + 4) i=1 1 5 (g) Σ ( X; + 0.5)2 i=1 5 (h) (1/5) [Σ (X₁ -0.5)]² i=1 2. Write the following in summation notation: (a) (X₁ + 3) + (X₂ + 3) + (X3 + 3) +...+ (XN-1 + 3) + (XN + 3) (b) (X₁ + 1) + (X2 + 2) + (X3 + 3) +...+ (XN-1 + N-1) + (XN + N) (c) (X₁ + 3)² + (x₂ + 3)² + (X3 + 3)² +...+ (XN-1 + 3)² + (XN + 3)² (d) (X₁ + Y₁) + (X2 + Y₂) + (X3 + Y3) +...+ (XN-1 + YN-1) + (XN + YN) (e) (X₁ + X₁ Y₁) + (X₂ + X₂Y₂) + (X3 + X3Y3) +...+ (XN-1 + XN-1YN-1) + (XN + XN YN) (f) (X₁-m)² + (x₂ - m)² + (x3 - m)² +...+ (XN-1 - m)² + (XN - m)² (g) (1/N) [(X₁ - m)² + (X₂ - m)² + (x3 - m)² +...+ (XN-1 - m)² + (XN - m)²] (h) c(X₁m)² + c(X₂ - m)² + c(X3 - m)² +...+ c(XN-1 - m)² + c(XN-m)² (i) X₁/(1+r)¹ + X₂ /(1+r)² + X3 /(1+r)³ +...+ XT-1 /(1+r) ™-1 + X₁/(1+r)T Please simplify the following product: (j) X(1+r)(1+r)(1+r)(1+r)

Answer rating: 100% (QA)

1 Sums using given values a Xi i1 to 4 X1 X2 X3 X4 5 2 3 5 5 2 3 5 5 b Xi i3 to 7 X3 X4 X5 3 5 7 3 5 ... View the full answer