geometric sequence

I am assuming this is a geometric sequence because of the title of the post.

You can find the common ratio, by dividing the second term by the first term. $\text{Common ratio} = \dfrac{\sqrt{10}}{\sqrt2} = \sqrt{\dfrac{10}2} = \sqrt5$.

Since the nth term of a geometric sequence is $ar^{n - 1}$ where a is the first term and r is the common ratio, you can now substitute a = sqrt(2), r = sqrt(5), n = 7 to get the value of the 7th term.