Answer:
Step-by-step explanation:
The missing figure is attached.
The perimeter of a rectangle is:
Where "l" is the lenght and "w" is the width.
You can identify in the figure that:
Then, knowing the perimeter of the rectangle, you can make the subsitution into the formula:
Now you must simplify and solve for "z"
Finally, substituting the value of "z" into , you get:
Answer:Answer:
Step-by-step explanation:
Given the sequence -4,-6,-8..., in order to get sigma notation to represent the sum of the first seven terms of the sequence, we need to first calculate the sum of the first seven terms of the sequence as shown;
The sum of an arithmetic series is expressed as
n is the number of terms
a is the first term of the sequence
d is the common difference
Given parameters
n = 7, a = -4 and d = -6-(-4) = -8-(-6) = -2
Required
Sum of the first seven terms of the sequence
The sum of the nth term of the sequence will be;
The sigma notation will be expressed as . <em>The limit ranges from 1 to 7 since we are to find the sum of the first seven terms of the series.</em>