Answer:
Option C) for is not the correct way to define the given infinite sequence
Step-by-step explanation:
Given infinite sequence is
Option B) for is not the correct way to define the given infinite sequence
Now verify for is true for the given infinite sequence
That is put n=1,2,3,.. in the above function
When n=1,
When n=2,
When n=3,
and so on.
Therfore for is not the correct way to define the given infinite sequence
Therefore option C) is correct
The slope of the line will be equal to 30.
Slope of a line may be defined as the steepness of a curve. Slope of line can be positive, negative or zero. Slope of a line is used to determine the equation of the line which is given as y = mx + b where m is the slope, b is y intercept and x and y are independent and dependent variables respectively. The slope of a line on points (x₁, y₁) and (x₂, y₂) is given by the formula, m = y₂ - y₁/x₂ - x₁.
According to the question the value of points is (x₁, y₁) = (0, 0) and (x₂, y₂) = (2, 60).
Now, the slope can be calculated as
m = (60 - 0)/(2 - 0)
=> m = 60/2
=> m = 30 which is the required slope.
Learn more about Slope at:
brainly.com/question/6531433
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Answer: Yes
Step-by-step explanation:
If you do 16/6 you get 2.667 and if you do 8/3 you also will get 2.667
The width of the rectangle is 9 cm.
The length of the rectangle is 34 cm.
<u>Step-by-step explanation</u>:
step 1 :
Let width of the rectangle be 'x'
The length of the rectangle = 7 + 3x
step 2 :
Perimeter of the rectangle = 2 (length + width)
⇒ 86 = 2 (7 + 3x + x)
⇒ 86 = 2 (7 + 4x)
⇒ 86 = 14 + 8x
⇒ 72 = 8x
x = 72/8
x = 9
∴ The width of the rectangle is 9 cm
step 3 :
The length of the rectangle = 7 + 3x
= 7 + 3(9)
= 7+27 = 34 cm