Find the sum of the first five terms using the geometric series formula for the sequence 1/2, -1,2,-4…
1 answer:
The sum of the first five terms is 11/2
<h3>How to determine the sum?</h3>The series is given as:
1/2, -1,2,-4…
Calculate the common ratio of the series using
r = -4/2
Evaluate
r = -2
The sum is then calculated as:
This gives
Evaluate
Evaluate
Hence, the sum of the first five terms is 11/2
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Answer:
B
Step-by-step explanation:
We want to find the equation of a line with a slope of 3 that includes the point (0, 5).
We can use the slope-intercept form, given by:
Where m is the slope and b is the y-intercept.
Notice that the given point (0, 5) is already the y-intercept. So, b = 5.
By substitution, we acquire:
Hence, our answer is B.
<h2>Explanation:</h2><h2></h2>
Hello! Remember you have to write clear questions in order to get good and exact answers. Here, I'll assume the function as:
The y-intercept of a function is the point at which the graph of the function touches the y-axis. This occurs when we set . In other words, we define the y-intercept (let's call it
as:
Setting in our function we have:
So <em>in this context the y-intercept is -16</em>
Answer:
Equivalent systems of equations review
Step-by-step explanation:
We're given two systems of equations and asked if they're equivalent.
x + 4y = 8 (1)
4x + y = 2 (2)
Interestingly, if we sum the equations in System A, we get:
Replacing the first equation in System A with this new equation, we get a system that's equivalent to System A:
This is System B, which means that System A is equivalent to System B.