Question 1006100
give them all a common denominator and it might be easier to see.


sqrt(2) multiplied by sqrt(2) / sqrt(2) gives you sqrt(2)^2/sqrt(2) which is equal to 2/sqrt(2).


yoour sequence is now:


1/sqrt(2), 2/sqrt(2),3sqrt(2).


now it's easier to see that the common difference is 1/sqrt(2).


1/sqrt(2) + 1/sqrt(2) = 2/sqrt(2) + 1/sqrt(2) = 3/sqrt(2)