A recursive sequence is a sequence in which terms are defined using one or more previous terms that are given.
If you know the term n of an arithmetic sequence and you know the common difference, d, you can find the term (n + 1) by tossing the recursive formula to n + 1 = a n + d
We have then:
5, 15, 30, 50
an = (5/2) * (n) * (n + 1)
Answer:
the recursive formula for 5, 15, 30, 50, is:
an = (5/2) * (n) * (n + 1)
Answer:
6
Step-by-step explanation:
The slope (m) is given by ...
m = (y2 -y1)/(x2 -x1)
Filling in the given values, we have an equation we can solve for r.
-3 = (-4 -8)/(r -2)
r -2 = -12/-3 . . . . . multiply by (r-2)/-3
r = 6 . . . . . . . . . . . add 2
The solution interval for x is x ∈ (-1/4 , ∞)
An inequality shows the relationship of a non-equal comparison between two numbers or mathematical expressions.
Here, we are given two inequalities
x/4 > -1 and -4x - 4 < -3
Let us take the first equation
x/4 > -1
⇒ x > 4(-1)
x > -4
Now, the second equation
-4x - 4 < -3
-4x < -3 + 4
-4x < 1
Now since we are dividing both sides by a negative number, that is 4, the sign of the inequality will be reversed,
x > 1/-4
x > -1/4
Thus, we get x > -4 and x > -1/4
This means that all values of x greater than -1/4 will satisfy.
Thus, x ∈ (-1/4 , ∞)
Learn more about inequalities here-
brainly.com/question/25275758
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A. The empirical rule tells you that 68% of observations fall within one standard deviation of the mean for a normal distribution. [32, 38] = 35 ±3, so your interval is within one standard deviation of the mean.
68% of observations will fall between 32 and 38
B. The distribution is symmetrical about the mean, so half of the observations in part A will be below the mean.
34% of observations will fall between 32 and 35
C. The distribution is symmetrical about the mean, so half the observations fall above the mean.
50% of observations will fall above 35
D. The distribution is symmetrical about the mean, so half the observations will fall below the mean, 35. As in part B, 34% will fall between the mean and one standard deviation above the mean, 38. The sum of these percentages is 84%.
84% of observations will fall below 38
<h2>They mark-up the price by <u>$13.20</u></h2><h3>The new price is $79.20 (If you need that information)</h3><h3><u /></h3><h3>66 x 0.20 = 13.20</h3><h3>The new price:</h3><h3>13.20 + 66 = 79.20</h3><h3 /><h3><em>Please let me know if I am wrong.</em></h3>
