1. How many groups of days are in 1 week?
1 answer:
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The first four terms of the sequence are 3 , 6 , 12 , 24
Step-by-step explanation:
We need to find the first four terms of the sequence
where to find them do that
- Substitute n by 2 in the rule to find
- Substitute n by 3 in the rule to find
- Substitute n by 4 in the rule to find
∵
- Substitute n by 2 to find the 2nd term
∴
∴
∵
∴
∴
- Substitute n by 3 to find the 3rd term
∴
∴
∵
∴
∴
- Substitute n by 4 to find the 4th term
∴
∴
∵
∴
∴
The first four terms of the sequence are 3 , 6 , 12 , 24
Learn more:
You can learn more about the sequences in brainly.com/question/1522572
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Answer:
Variable rate of change.
Step-by-step explanation:
Plot the points and you'll see that the graph is not a straight line, therefore the rate of change is variable.
<h2>Steps:</h2>
So for this, we will be completing the square to solve for m. Firstly, subtract 8 on both sides:
Next, divide both sides by 2:
Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:
-8 ÷ 2 = -4, (-4)² = 16
Add 16 to both sides of the equation:
Next, factor the left side:
Next, square root both sides of the equation:
Next, add 4 to both sides of the equation:
Now, while this is your answer, you can further simplify the radical using the product rule of radicals:
- Product rule of radicals: √ab = √a × √b
√12 = √4 × √3 = 2√3.
In exact form, your answer is
In approximate form, your answers are (rounded to the hundreths)