Členy a diferencie aritmetickej postupnosti | math4u.vsb.cz

Pridané používateľom vladimir.arzt dňa Pi, 03/01/2024 - 16:27

Project ID:

7100000011

Accepted:

Podoblasť:

Aritmetická postupnosť

Typ:

Layout:

Question:

Priraďte k daným aritmetickým postupnostiam

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

ich hľadané členy

(a_{n})

, diferencie

(d)

alebo súčty

(s_{n})

.

Question 1:

a_{n} = - 1 + 2 n; a_{1} = ?

Answer 1:

1

Question 2:

a_{n} = 2 - \frac{n}{2}; d = ?

Answer 2:

- \frac{1}{2}

Question 3:

a_{1} = - 3; d = 2; s_{4} = ?

Answer 3:

0

Question 4:

a_{1} = 5; d = - 2; a_{4} = ?

Answer 4:

- 1

Question 5:

a_{1} = 4; a_{4} = - 2; d = ?

Answer 5:

$- 2$

Question 6:

a_{3} = - 1; a_{5} = 5; a_{4} = ?

Answer 6:

2

Question 7:

a_{1} = 2; a_{5} = 4; s_{5} = ?

Answer 7:

15

Question 8:

a_{2} = 2; a_{6} = 4; d = ?

Answer 8:

\frac{1}{2}

Question 9:

a_{n} = - n; s_{5} = ?

Answer 9:

- 15