√5/4,√3/2,√7/4. Find the formula for this sequence. √ this symbol means square root

Hello!

I think that the root sign acts on entire fractions, i.e. we have the sequence

Let's express the second fraction as and the sequence becomes

Now the rule is obvious: n-th term is if we start from This is the same as

That said, there are infinitely many possible formulas for these three numbers, even among polynomial formulas.

Hello!

I think that the root sign acts on entire fractions, i.e. we have the sequence

Let's express the second fraction as and the sequence becomes

Now the rule is obvious: n-th term is if we start from This is the same as

That said, there are infinitely many possible formulas for these three numbers, even among polynomial formulas.