SOLUTION: 3,6/7,9/17,12/31,15/49,18/71 is my sequence what are the next 2 numbers in the sequence

Question 914116: 3,6/7,9/17,12/31,15/49,18/71 is my sequence what are the next 2 numbers in the sequence
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
21/97 and 24/127
Numerators increase by 3
3 6 9 12 15 18 21 24 ...
The difference from one denominator to the next changes.
It starts with 6 and increases by 4 each time.
The first number is 3/1; the denominator is 1.
The second denominator is 6 more:
1+6=7,
and the second number is 6/7.
The third denominator is
6+4=10 more than the second:
7+10=17.
So the third number is 9/17.
To get the next denominator, you have to add 10+4=14, to get 17+14=31.
With that denominator, you get 12/31.
Next, you add 14+4=18 to get 31+18=49, for 15/49.
Then, you add 18+4=22 to get 49+22=71, for 18/71.
Then you add 22+4=26 to get 71+26=97, for 21/97.
Then you add 26+4=30 to get 97+30=127 for 24/127.
RELATED QUESTIONS
Consider the sequence of numbers: 1,7,17,31,49,71 What is the expression for the nth... (answered by Edwin McCravy,greenestamps)

Determine the 100th term of the sequence: 1, 7, 17, 31, 49,... (answered by greenestamps)

What is The next number in the sequence 3, 2, 6, 4, 9, 6, 12,... (answered by MathIsHard_Yay)

what is the sequence of 6, 12, 9, 18,... (answered by Edwin McCravy)

Subject: locating a number in a triangular array of numbers [Question] if the... (answered by scott8148)

Find the next 2 numbers in this sequence: 3, 3, 5, 6, 8, 12, 12, 24,... (answered by jorel1380)

what is the rule to find the next term in the sequence 3 7 15 31... (answered by jorel1380)

What is the next number in sequence 2, 7, 14, 9,... (answered by ikleyn,Alan3354)