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Calculus · Series-And-Sums

Sum 2^k for k = 0 to n

\sum_{k=0}^{n} 2^{k}

Korak po korak

  1. \sum_{k=0}^{n} 2^{k}

    Write the sum out.

  2. 1 + 2 + 4 + 8 + \cdots

    The first few terms.

  3. = 2 \cdot 2^{n} - 1

    Closed form (a standard summation formula, provable by induction).

Otkrij odgovor
2 \cdot 2^{n} - 1