Respuesta :
Answer: The correct option is (c). 6.
Step-by-step explanation: we are given to find the common difference of the following arithmetic sequence:
[tex]4,~~10,~~16,~~22,~~.~~.~~.[/tex]
In an Arithmetic sequence, the common difference is equal to the difference between two consecutive terms of the sequence.
In the given arithmetic sequence, we have
[tex]10-4=16-10=22-16=~~.~~.~~.~~=6.[/tex]
So, the common difference of the given arithmetic sequence is 6.
Thus, (c) is the correct option.