Simmons Boyd
05/31/2023 · Elementary School
Indica cuales de las siguientes sucesiones son finitas, cuales infinitta
hallar los terminos:
a. \( a_{n}=1+(-1) n \quad n \leq 4 \)
b. \( a_{n}=\sqrt{n} \quad 3
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Vamos a analizar cada una de las sucesiones dadas para determinar si son finitas o infinitas y, en caso de ser finitas, hallaremos sus términos.
### a. \( a_{n}=1+(-1) n \quad n \leq 4 \)
Esta sucesión está definida para \( n \) hasta 4. Vamos a calcular los términos:
- Para \( n = 1 \): \( a_1 = 1 + (-1) \cdot 1 = 1 - 1 = 0 \)
- Para \( n = 2 \): \( a_2 = 1 + (-1) \cdot 2 = 1 - 2 = -1 \)
- Para \( n = 3 \): \( a_3 = 1 + (-1) \cdot 3 = 1 - 3 = -2 \)
- Para \( n = 4 \): \( a_4 = 1 + (-1) \cdot 4 = 1 - 4 = -3 \)
**Términos:** \( 0, -1, -2, -3 \)
**Tipo:** Finitas (4 términos)
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### b. \( a_{n}=\sqrt{n} \quad 3
Quick Answer
a. Finita (0, -1, -2, -3)
b. Finita (2)
c. Infinita
d. Infinita
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