AdaAda

Inicio / Biblioteca / CSAT (Suneung) essentials: original practice / Flashcard sintético

In CSAT Mathematics, how is the summation formula $\sum_{k=1}^n k^2$ calculated?

Flashcard de estudio del mazo CSAT (Suneung) essentials: original practice.

Respuesta

$\sum_{k=1}^n k^2 = \frac{n(n + 1)(2n + 1)}{6}$.

Explicación

Similarly, $\sum_{k=1}^n k = \frac{n(n + 1)}{2}$ and $\sum_{k=1}^n k^3 = \left[\frac{n(n + 1)}{2}\right]^2$. These identities frequently appear in sequence problems.

Contenido sintético · Curaduría: Ada