Question

What value of k causes the terms 7, 6k, 22 to form an arithmetic sequence?

Answer 1

Answer: first option

Step-by-step explanation:

To form an arithmetic sequence, you have that for the sequence $7,6k,22$:

$6k-7=22-6k$

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

- Add like terms:

$6k+6k=22+7\\12k=29$

- Divide both sides by 12. Then you obtain;

$k=\frac{29}{12}$

Answer 2

Answer:

$k=\frac{29}{12}$

Step-by-step explanation:

The given sequence is 7, 6k, 22.

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

$6k-7=22-6k$

Group similar terms;

$6k+6k=22+7$

Simplify;

$12k=29$

Divide by 12

$k=\frac{29}{12}$