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What is the result of the summation Σ₀≤k≤n ∑ᵢ i * Cᵢ?

1. n(n + 1)2ⁿ⁻³
2. n²2ⁿ⁻³
3. n(n − 1)2ⁿ⁻³
4. None of the above

Correct answer: n²2ⁿ⁻³

Solution

The value of Σ₀≤k≤n ∑ᵢ i * Cᵢ is calculated using summation formulas and binomial coefficients, resulting in the value n²2ⁿ⁻³.

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