<u>Answer:</u>
Slope = 6
<u>Step-by-step explanation:</u>
Taking two points on line l to find its slope: (0, 3) and (6, 2).
Slope of line l =
We know that the slope of a line which is perpendicular to another line has a slope which is a negative reciprocal of the other line.
Therefore, the slope of the line which is perpendicular to line l will have a slope of 6.
O C N
100% - 19% = 81%
£127 ::: X
Cross multiply
X =102.87
The required sum is 2 + (−4) + (−10) + (−16) + (−22)
<h3>Sum of sequences</h3>
From the given sum of a sequence, we are to find the sum of the given sequence from n = 0 to n = 4
When n = 0
a(0) = 2 - 6(0)
a(0) = 2 - 0
a(0) = 2
When n = 1
a(1) = 2 - 6(1)
a(1) = 2 -6
a(1) = -4
When n = 2
a(2) = 2 - 6(2)
a(2) = 2 - 12
a(2) = -10
When n = 3
a(3) = 2 - 6(3)
a(3) = 2 - 18
a(3) = -16
When n = 4
a(4) = 2 - 6(4)
a(4) = 2 - 24
a(4) = -22
Hence the required sum is 2 + (−4) + (−10) + (−16) + (−22)
Learn more on sum of sequences here; brainly.com/question/24295771
Answer:
an =7+4(n-1)
Step-by-step explanation:
an =a1+ d(n-1) is the equation for an arithmetic sequence
When n=4 an =19
19 =a1 + d(4-1)
19 =a1 + d(3)
When n =6 an =27
27 = a1 +d*(6-1)
27 = a1 +d*5
Now we have 2 equations and 2 unknowns
19 =a1 + d(3)
27 = a1 +d*5
Subtract them to eliminate a1
27 = a1 +d*5
-19 =a1 + d(3)
-----------------------
8 = 2d
Divide by 2
8/2 = 2d/2
4 =d
The common difference is 4
Now we need to find a1
27 = a1 +d*5
27 = a1 + (4) *5
27 = a1+ 20
Subtract 20 from each side
27-20 =a1 +20-20
7 =a1
The initial term is 7
an = a1+ d(n-1)
an =7+4(n-1)