MATH SOLVE

3 months ago

Q:
# What value of k causes the terms 7, 6k, 22 to form an arithmetic sequence? 29/12 5/411/6 5/2

Accepted Solution

A:

Answer: first optionStep-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]