Question

Consider the sequence, 1, 2/3, 3/5, 4/7, 5/9...

Answer 1

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

Answer 2

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

Answer 3

I mean described

Answer 4

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

Answer 5

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

Answer 6

looks easy to me too

Answer 7

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

Answer 8

Alright thank you.!

Answer 9

\[\frac{ n }{ (-1 + 2 n) }\]

Answer 10

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

Answer 11

@satellite73 please check my formulation if it made any sense

thank you in advance