Number Machine #2
1 answer:
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Answer:
The equation of line is given by
Step-by-step explanation:
We have been given the points (–2, 2) and (0, 5) and we have to find the equation of the line.
Let us first find the slope of the line using the formula
On substituting the values, we get
Now, using the point slope form, the equation of line is given by
Therefore, the equation of line is given by
Answer:
The sum of the arithmetic progression is 2520
Step-by-step explanation:
The sum, Sₙ, of an arithmetic progression, AP, is given as follows;
Where;
n = The nth term of the progression
a = The first term = 100
d = The common difference = -2
Given that the last term = -10, we have;
-10 = 100 + (n - 1) ×(-2)
n = (-10 - 100)/(-2) + 1 = 56
Therefore, the sum of the 56 terms of the arithmetic progression is
Which gives;