Answer:
5
Step-by-step explanation:
We are given the geometric series:
-1, - 2, - 4, - 8.......
In the geometric series above, the common ratio = second term/first term = -2/-1
= 2
Where common ratio is greater than 1(r >1)
The sum of a geometric progression =
Sn = a(rⁿ -1)/r - 1
In the question we are asked to find the number of term = n
Sn = -31
a = -1
r = 2
Hence,
-31 = -1(2ⁿ - 1)/2 - 1
-31 = -1(2ⁿ - 1)
-31 = -2ⁿ + 1
2ⁿ = 1 + 31
2ⁿ = 32
2ⁿ = 2^5
n = 5
Therefore, the number of terms(n) = 5
Answer:
768
Step-by-step explanation:
The equation of this straight line is y = 50x + 100.
<h3>What is a linear function?</h3>
A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
<h3>How to determine the equation?</h3>
In order to determine the equation from this graph of a linear equation, we would find the slope of the straight line by using this formula as follows:

Slope, m = 100/2
Slope, m = 50.
Mathematically, the standard form of the equation of a straight line is given by;
y = mx + c
Where:
- x and y are the points.
- m is the slope.
- c is the intercept.
At point (4, 300), we have:
y = mx + c
300 = 50(4) + c
300 = 200 + c
c = 300 - 200
c = 100.
Therefore, the equation of this straight line is y = 50x + 100.
Read more on slope here: brainly.com/question/28312822
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Answer:
If it only moves 8 units up then you'll end up at (-5, 4). Your x value or position remains same for it didn't move right nor left.