Find the next three terms in the sequence below.

13/6

Step-by-step explanation:

Based upon the previous sequence.

1.there is a constant decrease of two in the numerator

2. There is a constant increase of one in the denominator

to find the fourth number in the sequence I used One of the numbers from the previous to determine the answer.

17/4 — —> then I followed the pattern and determine what fraction 3 was       .   .                 before it was converted into a whole number.

which would be 15/5 —> Now considering equations that are written like this also mean division, because in this case division is possible the answer would be 3, which would make the whole number 3 instead of 15/3. considering it was an improper fraction.

Now If 15/5 wasn’t converted into 3, The answer to the  sequence would be 13/6. If you follow the pattern like I said before there is a certain amount of increase and decrease so 13/6 will be your answer. The only reason is not a whole number because 13 can’t be divided by six to get a whole number.

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional