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

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following