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Desafío: Números complejos, secuencias y series

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Quiz sobre conceptos clave

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Colombia

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Desafío: Números complejos, secuencias y series
 

Desafío: Números complejos, secuencias y seriesOnline version

Quiz sobre conceptos clave

by Carlos Alberto Contreras
1

La suma de dos números complejos siempre es otro número complejo.

2

i^2 = 1.

3

En el plano complejo, el eje vertical representa la parte real.

4

La norma de un número complejo puede ser negativa.

5

La magnitud de z = a + bi es sqrt(a^2 + b^2).

6

El punto (2, −3) representa el número complejo 2−3𝑖.

7

Una serie geométrica converge si |r| < 1.

8

La sucesión 1, 1/2, 1/3, 1/4, ... converge a 0.

9

Toda serie infinita converge.

10

El producto de dos números complejos siempre es puramente real.

11

La suma de la serie infinita 1 + 1/2 + 1/4 + 1/8 + ... es 2.

12

El número 5 es un número complejo.

13

La sucesión (-1)^n converge a 0.

14

Multiplicar un número complejo por su conjugado da un número real.

15

Un número complejo se expresa como a + bi, donde a y b son reales y i^2 = -1.

16

La magnitud de 3 + 4i es 7.

17

Todo número de la forma 𝑎+𝑏𝑖 es un número complejo.

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