Answer:
n squared + 3n + 1
Step-by-step explanation:
5,11,19,29
Firstly look at the difference between each number. The first difference is 6 then 8 then 10 etc. After that you look at your created sequence - 6,8,10 etc. The difference is 2 each time. Then applying rules, you have to do the constant difference divided by 2 to get a coefficient of n squared. So in this case it's n squared because 2/2 = 1 so you don't have to place a 1 in front of the n squared. After you create a sequence from the n squared. That would be 1,4,9 etc. Then you need to see how to get from the sequence: 1,4,9 etc to your original sequence: 5,11,19 etc. So if you calculate it you will get 4,7,10 because firstly 5-1 = 4 then 11-4 = 7 etc. The sequence 4,7,10 is a linear sequence so the constant difference is 3 each time. So to get a nth term of a linear sequence you will start off as 3n then you will substitute 1 then 2 then 3 into the 3n. Therefore that would be 3,6 etc. So if you take the first substituted term, that would be 3 as said before then you will have to see how to get from the 3 to 4 so that is just adding 1. So the nth term of this linear sequence is 3n + 1. Check if it works at the end. So the overall nth term of the quadratic sequence is n squared as said before + 3n + 1.
Answer:
0.8
Step-by-step explanation:
multiply 1.00 .20 4 times
Answer: 4th root of (1/x)^5
Step-by-step explanation: negative exponent makes the x become 1/x. The 4 goes to the outside of the radical, and the 5 stays as the exponent
Step-by-step explanation:
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The Slope-Intercept form of the equation of the line is:
Where "m" is the slope of the line and "b" is the y-intercept.
The slope can be found with:
Choose two points from the table. These could be the points (1,-4) and (4,-19). You can set up that:
Substituting values, you get that the slope of this line is:
You can substitute the slope and the first point into the equation in Slope-Intercept form:
Solve for "b":
Therefore, the Equation of this line in Slope-Intercept form is:
