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pomoże ktoś jak najszybciej



Pomoże Ktoś Jak Najszybciej class=

Odpowiedź :

LoczeeQ

1.

a)

[tex]18 + 2r = 32 \\ 2r = 14 \\ r = 7[/tex]

Uzupełnione: 18, 25, 32

b)

[tex] - 7 + 2r = - 19 \\ 2r = - 12 \\ r = - 6[/tex]

Uzupełnione: -7, -13, -19

c)

[tex]3 + 2r = - 14 \\ 2r = - 17 \\ r = - 8.5[/tex]

Uzupełnione: 3, -5,5, -14

2.

a)

[tex]10 + 3r = 34 \\ 3r = 24 \\ r = 8[/tex]

Uzupełnione: 10, 18, 26, 34

b)

[tex]5 + 3r = 32 \\ 3r = 27 \\ r = 9[/tex]

Uzupełnione: 5, 14, 23, 32

c)

[tex]10 + 6r = 34 \\ 6r = 24 \\ r = 4[/tex]

Uzupełnione: 10, 14, 18, 22, 26, 30, 34

d)

[tex]34 + 4r = 10 \\ 4r = - 24 \\ r = - 6[/tex]

Uzupełnione: 34, 28, 22, 16, 10

Myślę że pomogłem ;)

123bodzio

Odpowiedź:

zad 31

a)

a₁ = 18

a₃ = a₁ +2r = 32

a₁ + 2r =32

2r = 32 - a₁= 32 - 18 = 14

r = 14 : 2 = 7

a₂ = a₁ + r = 18 + 7 = 25

18 , 25 , 32

b)

a₁ = - 7

a₃ = a₁ +2r = - 19

a₁ + 2r = -19

2r = - 19 - a₁= - 19 - (- 7) = - 19 + 7= - 12

r = - 12 : 2 = - 6

a₂ = a₁ + r = - 7 - 6 = - 13

- 7 , - 13 , - 19

c)

a₁ = 3

a₃ = a₁ +2r = - 14

a₁ + 2r = - 14

2r = - 14 - a₁ = - 14 - 3 = - 17

r = - 17 : 2 = - 8,5

a₂ = a₁ + r = 3 - 8,5 = - 5,5

3 , - 5,5 , - 14

zad 32

a)

a₁ = 10

a₄ = a₁ + 3r = 34

a₁ + 3r = 34

3r = 34 - a₁ = 34 - 10 = 24

r = 24 : 3 = 8

a₂ = a₁ + r = 10 + 8 = 18

a₃ = a₂ + r = 18 + 8 = 26

10 , 18 , 26 , 34

b)

a₁ = 5

a₄ = a₁ + 3r = 32

a₁ + 3r = 32

3r = 32 - a₁ = 32 - 5 = 27

r = 27 : 3 = 9

a₂ = a₁ + r = 5 + 9 = 14

a₃ = a₂ + r = 14 + 9 = 23

5 , 14 , 23 , 32

c)

a₁ = 10

a₇ = a₁ + 6r = 34

a₁ + 6r = 34

6r = 34 - a₁ = 34 - 10 = 24

r = 24 : 6 = 4

a₂ = a₁ + r = 10 + 4 = 14

a₃ = a₂ + r = 14 + 4 = 18

a₄ = a₃ + r = 18 + 4 = 22

a₅ = a₄ + r = 22 + 4 = 26

a₆ = a₅ + r = 26 + 4 = 30

10 , 14 , 18 , 22 , 26 , 30 , 34

d)

a₁ = 34

a₅ = a₁ + 4r = 10

a₁ + 4r = 10

4r = 10 - a₁ = 10 - 34 = - 24

r = - 24 : 4 = - 6

a₂ = a₁ + r = 34 - 6 = 28

a₃ = a₂ + r = 28 - 6 = 22

a₄ = a₃ + r = 22 - 6 = 16

34 , 28 , 22 , 16 , 10

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