Here's the question you clicked on:
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Consider the sequence, 1, 2/3, 3/5, 4/7, 5/9...
Describe the pattern formed in the sequence. Find the next three terms.
I know the next three terms, but I don't understand how they want it written?
looks like you are adding one to the numerator and 2 to the denominator
Do you think thats what their wanting me to say though.? It just seemed a little easy to me
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
\[\frac{ n }{ (-1 + 2 n) }\]
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
@satellite73 please check my formulation if it made any sense thank you in advance