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Sum 2k - 1 for k = 1 to n

\sum_{k=1}^{n} 2 k - 1

Inyathelo ngenyathelo

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

    Write the sum out.

  2. 1 + 3 + 5 + 7 + \cdots

    The first few terms.

  3. = n^{2}

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

Bonisa impendulo
n^{2}