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iris [78.8K]
3 years ago
15

2, 6, 10, 14, ...

Mathematics
1 answer:
8090 [49]3 years ago
6 0

The sequence can be represented by 2 + 4x, where x is a whole number(x \geq 0 and x is an integer). By this, we should be able to plug in some whole number x and be able to get these values if they are in the sequence. To test this, let's set these numbers equal to 2 + 4x and confirm that there is a whole number x which equals the values selected.


2 + 4x = 90 \Rightarrow 4x = 88 \Rightarrow x = 22 \, \checkmark

2 + 4x = 150 \Rightarrow 4x = 148 \Rightarrow x = 37 \, \checkmark

2 + 4x = 160 \Rightarrow 4x = 158 \Rightarrow x = 39.5


When trying 160 with our equation, we find that x doesn't equal a whole number, thus our answer is C, or 160. To confirm our answer, we can test 170 and 210 and confirm that they both give us a value for x which is a whole number.


2 + 4x = 170 \Rightarrow 4x = 168 \Rightarrow x = 42 \, \checkmark

2 + 4x = 210 \Rightarrow 4x = 208 \Rightarrow x = 52 \, \checkmark

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2 years ago
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Answer:

Jon lost a total of 3 kilograms in these 3 months.

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Overall Change in his weight = Total Weight he gained - Total weight he Lost

Total weight he gained is 2.2 kilograms as he only gained weight in December. Total weight he lost will be sum of weights he lost in January and February.

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The statement that best describe the total change in his weight is: Jon lost a total of 3 kilograms in these 3 months

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2 years ago
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