Hello!

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

`sqrt(5/4),` `sqrt(3/2),` `sqrt(7/4).`

Let's express the second fraction as `6/4` and the sequence becomes

`sqrt(5/4), sqrt(6/4), sqrt(7/4).`

Now the rule is obvious: n-th term is `sqrt((n+4)/4)` if we start from `n=1.` This is the same as `sqrt(1+n/4).`

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

## We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

- 30,000+ book summaries
- 20% study tools discount
- Ad-free content
- PDF downloads
- 300,000+ answers
- 5-star customer support

Already a member? Log in here.

Are you a teacher? Sign up now