Answer:
see explanation
Explanation:
basically Gauss' method simplifies to
Sum = (number of terms) ÷ 2 × (1st term + last term)
43
S₂₀₀ = 200 ÷ 2 × (1 + 200) = 100 × 201 = 20,100
44
S₄₀₀ = 400 ÷ 2 × (1 + 400) = 200 × 401 = 80,200
45
S₈₀₀ = 800 ÷ 2 × (1 + 800 ) = 400 × 801 = 320,400
46
S₂₀₀₀ = 2000 ÷ 2 × (1 + 2000) = 1000 × 2001 = 2,001,000