Answer:
140
Step-by-step explanation:
The arithmetic series is 5, 7, 9, 11, ........., 23.
First u have to determine the no. of terms that can be done by using
Tₙ = [a + (n - 1)d]
Tₙ-------nth term
a---------first term
n---------no.of terms in the series
d---------common difference
here a = 5,d = 2.
let it contain n terms Tₙ= [a + (n-1)d]
Substitute Tₙ, a, and d in the equation
23 = 5 + (n - 1)2
Subtract 5 from each side.
18 = (n-1)2
Divide each side by 2
(n - 1) = 9
Add 1 to each side
n = 9 + 1 = 10
The sum of the arithmetic sequence formula: Sₙ= (n/2)[2a+(n-1)d]
Substitute Sₙ, a, n and d in the equation
Sₙ= (10/2)[2(5) + (10-1)2]
Sₙ= (5)[10 + (9)2]
Sₙ= 5[10 + 18]
Sₙ= 5[28] = 140
Therefore the sum of the arithmetic sequence is 140.
Range: largest number minus the smallest number
39 - 19 = 20
your range is 20
Mean: add all of the numbers and divide by the amount of numbers there are.
26+19+23+39+31+34+23+25= 220
220/8 = 27.5
your mean is 27.5
hope this helps
Answer:
-4, -x^2, x^2, 4
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
If you have to add 2 to X to get it back to the original, it started out 2 to the left. (It would seem like it ought to be C, but when you add an subtract from the x value in functions, it's opposite of what you might think.)
Answer:
k = 8
Step-by-step explanation:
7(k - 5) = 21
k - 5 = 3
k = 8
Hope this helps!
