Question

What is the relationship between the figure number in the number of stars in the figure represents the relationship in as many ways as possible.

Answer 1

the figured numbers to the power of two then add one.
for example f is figure:
f^2 + 1 = x

Answer 2

It is the the figure numbers squared and then +1 added to it.

So Fig. 1 is 1^2 +1 = 2

Fig 2 is 2^2 +1

Fig 3 is 3^2 + 1

...and so on...