Answer:
492,800
Step-by-step explanation:
Given ith term of an arithmetic sequence as shown:
ai = a(i-1)+2
and a1 = 5
When i = 2
a2 = a(2-1)+2
a2 = a1+2
a2 = 5+2
a2 = 7
When i = 3
a3 = a(3-1)+2
a3 = a2+2
a3 = 7+2
a3 = 9
It can be seen that a1, a2 and a3 forms an arithmetic progression
5,7,9...
Given first term a1 = 5
Common difference d = 7-5= 9-7 = 2
To calculate the sum of the first 700 of the sequence, we will use the formula for finding the sum of an arithmetic sequence.
Sn = n/2{2a1+(n-1)d}
Given n = 700
S700 = 700/2{2(5)+(700-1)2}
S700 = 350{10+699(2)}
S700 = 350{10+1398}
S700 = 350×1408
S700 = 492,800
Therefore, the sum of the first 700 terms in the sequence is 492,800
It is .00019
hope it helps!
I found the value of x to be 6 by adding the two equations together and setting them equal to 180.
2x^2+3x-5+x^2+11x-7=180
When you solve for x you get x=6
Then you plug 6 in for x in each angle. The first angle is 85 and the second is 95.
Answer:
Choice D.
Step-by-step explanation:
Hello! Me again, this is my explanation to my solution,
A stem-and-leaf plot shows the data shape and the densities of the different classes in a graphical form such that the information in the data such as the data characteristics are self displayed by the data numbers arranged in the stem-and-leaf plot. The stem-and-leaf plot keeps the raw numerical data, in the form they were obtained and by their arrangement, outliers are easily spotted.
Hope this helped! Let me know if you have further questions! :)
Answer:
D. 2.
Step-by-step explanation:
Using the points (1,3) and (-1,-1):
The slope= (3 - -1) / (1 - -1)
= 4/2
= 2.