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.
Answer:
0
Step-by-step explanation:
The question lacks the graph to be able to solve it, I was doing a little research and I could find the graph which I will attach:
Already with the figure we can solve the question.
We have that the average exchange rate in this case would only take the normal slope between those 2 lines
. Furthermore we know that the slope (m) is given by:
m = (y2-y1) / (x2 - x1)
From the graph we have to:
y2 = 0
y1 = 0
x2 = 5
x1 = 3
we replace:
m = (0-0) / (5 - 3)
m = 0
Therefore the average rate is 0.
D. 48 degrees
on calculator: 2ND SIN (72/97) = about 47.92