Členy a kvocienty geometrickej postupnosti | math4u.vsb.cz

Pridané používateľom vladimir.arzt dňa Pi, 03/01/2024 - 11:54

Project ID:

7100000009

Accepted:

Podoblasť:

Geometrická postupnosť

Typ:

Layout:

Question:

Priraďte k daným geometrickým postupnostiam

(a_{n})_{n = 1}^{\infty}

ich hľadané členy

(a_{n})

, kvocienty

(q)

alebo súčty

(s_{n})

.

Question 1:

a_{n} = (- 2)^{n}; a_{1} = ?

Answer 1:

- 2

Question 2:

a_{n} = (\frac{1}{2})^{n}; q = ?

Answer 2:

\frac{1}{2}

Question 3:

a_{n} = 2 \cdot (\frac{1}{2})^{n}; a_{1} = ?

Answer 3:

1

Question 4:

a_{n} = 2 \cdot (- 1)^{n}; a_{10} = ?

Answer 4:

2

Question 5:

a_{1} = - 8; a_{2} = 4; q = ?

Answer 5:

- \frac{1}{2}

Question 6:

a_{1} = - 0, 01; a_{2} = 0, 1; a_{3} = ?

Answer 6:

- 1

Question 7:

a_{1} = 1; q = 1; s_{10} = ?

Answer 7:

10

Question 8:

a_{1} = - 10; q = 0; s_{10} = ?

Answer 8:

- 10

Question 9:

a_{n} = (- 1)^{n}; s_{10} = ?

Answer 9:

0