Question 1189136: please show solution
3/7, 8/4, 5/9, 7/11, 12/18, ______
Answer key shows 9/13 is the next. Choices are 9/13, 15/11, 14/10, 12/9, and 11/15.
30, 42, 74, 126, 198 _______
Answer key shows 2810, but I think the answer is 290 which is not on the choices. Choices are 219, 279, 2810, 3110, and 3114.
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
ALL problems like this are invalid.
Given ANY finite sequence of first terms of a sequence, ANY next number makes a valid sequence. It is mathematically absurd to say that in any problem like this there is only one "right" answer.
Spend as much time (or as little) as you like looking for a logical pattern in the given numbers to predict the next number -- knowing that any answer you come up with might not be "right".
For your first example, there is a logical pattern, assuming you have shown the original sequence incorrectly. Here is the sequence I see:
3/7, 8/4, 5/9, 10/6, 7/11, 12/8, 9/13
(from one number to the next, add 1 to both numerator and denominator and take the reciprocal)
You left out the term 10/6; and you typed 12/18 instead of 12/8....
For your second example, your answer of 290 makes good mathematical sense.
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