Answer:
Step-by-step explanation:
In an arithmetic sequence, we keep adding/subtracting to get the next term in the sequence.
Therefore, we can make an equation that looks like this:
5k-(2k+1) = 7k+2-5k
We can subtract 2k+1 from 5k, and 5k from 7k+2, because from subtracting the difference would be the same. (common difference of sequence is what we would find)
Now, we just need to simplify.
5k-2k-1 = 2k+2
3k-1=2k+2
Now let's combine like terms, and we get:
k=3
Hope this helped!
