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cricket20 [7]
3 years ago
12

Find the next three terms in the sequence below.

Mathematics
2 answers:
fomenos3 years ago
4 0

Answer: 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.

Marizza181 [45]3 years ago
4 0
13/6 because the nex
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5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13
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Answer:

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Step-by-step explanation:

Let's solve your equation step-by-step.

5(−3x−2)−(x−3)=−4(4x+5)+13

Step 1: Simplify both sides of the equation.

5(−3x−2)−(x−3)=−4(4x+5)+13

5(−3x−2)+−1(x−3)=−4(4x+5)+13(Distribute the Negative Sign)

5(−3x−2)+−1x+(−1)(−3)=−4(4x+5)+13

5(−3x−2)+−x+3=−4(4x+5)+13

(5)(−3x)+(5)(−2)+−x+3=(−4)(4x)+(−4)(5)+13(Distribute)

−15x+−10+−x+3=−16x+−20+13

(−15x+−x)+(−10+3)=(−16x)+(−20+13)(Combine Like Terms)

−16x+−7=−16x+−7

−16x−7=−16x−7

Step 2: Add 16x to both sides.

−16x−7+16x=−16x−7+16x

−7=−7

Step 3: Add 7 to both sides.

−7+7=−7+7

0=0

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