Respuesta :

carlosego

Answer: first option

Step-by-step explanation:

To form an arithmetic sequence, you have that for the sequence [tex]7,6k,22[/tex]:

[tex]6k-7=22-6k[/tex]

Therefore, to calculate the value of k to form an arithmetic sequence, you must solve for k, as following:

- Add like terms:

[tex]6k+6k=22+7\\12k=29[/tex]

- Divide both sides by 12. Then you obtain;

[tex]k=\frac{29}{12}[/tex]

kudzordzifrancis

Answer:

[tex]k=\frac{29}{12}[/tex]

Step-by-step explanation:

The given sequence is 7, 6k, 22.

For this to be an arithmetic sequence, there must be a common difference.

[tex]6k-7=22-6k[/tex]

Group similar terms;

[tex]6k+6k=22+7[/tex]

Simplify;

[tex]12k=29[/tex]

Divide by 12

[tex]k=\frac{29}{12}[/tex]

Otras preguntas