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

29/12

5/4

11/6

5/2

first option

Step-by-step explanation:

To form an arithmetic sequence, you have that for the sequence :

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

- Add like terms:

- Divide both sides by 12. Then you obtain;

Step-by-step explanation:

The given sequence is 7, 6k, 22.

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

Group similar terms;

Simplify;

Divide by 12

13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5