## gjhfdfg 3 years ago Consider the sequence, 1, 2/3, 3/5, 4/7, 5/9...

1. gjhfdfg

Describe the pattern formed in the sequence. Find the next three terms.

2. gjhfdfg

I know the next three terms, but I don't understand how they want it written?

3. gjhfdfg

I mean described

4. satellite73

looks like you are adding one to the numerator and 2 to the denominator

5. gjhfdfg

Do you think thats what their wanting me to say though.? It just seemed a little easy to me

6. satellite73

looks easy to me too

7. satellite73

if you want to be real fancy you could write a formula, but that seems like way too much work to figure out. probably have to write it recursively

8. gjhfdfg

Alright thank you.!

9. nincompoop

$\frac{ n }{ (-1 + 2 n) }$

10. nincompoop

the sequence indicates in the fractional value a +1 o the numerator and +2 for denominator, but we need to decipher how the division occurred from whole number to fractional... hence n/(-1 + 2 n) 1/[-1+2 (1)] = 1 with this formula we can find the next value in either decreasing or increasing value from 1

11. nincompoop

@satellite73 please check my formulation if it made any sense thank you in advance