Thread: How to find the formula of this sequence:

1. How to find the formula of this sequence:

3/4, 1 , 7/6 , 9/7

2. Hello, juliak!

Sequence: . $\frac{3}{4},\;1,\;\frac{7}{6},\;\frac{9}{7},\;\hdo ts$
Write all of them as fractions . . .

We have: . $\frac{3}{4},\;\frac{5}{5},\;\frac{7}{6},\;\frac{9} {7},\;\hdots$

Got it?
The denominators are consecutive integers starting at 4: . $n+3$
The numerators are consecutive odd integers starting at 3: . $2n+1$

The general term is: . $a_n \;=\;\frac{2n+1}{n+3}$