Answer:
Sn = a1 (1-r^n)/ (1-r)
Step-by-step explanation:
The formula for the sum of a geometric sequence summations is given by
Sn = a1 (1-r^n)/ (1-r)
where a1 is the first term, r is the common ratio and n is the term number we are summing up to
The answer is 20.6 because 17+3=20 and then you add the decimal so 20+0.6= 20.6
Answer:
answer will be an=3n+11
Step-by-step explanation:
because when we substitute them...it make sense.
<em>the</em><em> </em><em>rule</em><em> </em><em>is</em><em> </em><em>an</em><em>=</em><em>3</em><em>n</em><em>+</em><em>1</em><em>1</em>
<em>lets</em><em> </em><em>substitute</em><em>:</em>
<em>(</em><em>i</em><em>)</em><em>.</em><em>1</em><em>4</em><em>=</em><em>3</em><em>(</em><em>1</em><em>)</em><em>+</em><em>1</em><em>1</em>
<em>(</em><em>ii</em><em>)</em><em>1</em><em>7</em><em>=</em><em>3</em><em>(</em><em>2</em><em>)</em><em>+</em><em>1</em><em>1</em>
<em>(</em><em>iii</em><em>)</em><em>2</em><em>0</em><em>=</em><em>3</em><em>(</em><em>3</em><em>)</em><em>+</em><em>1</em><em>1</em>
<em>(</em><em>iv</em><em>)</em><em>2</em><em>3</em><em>=</em><em>3</em><em>(</em><em>4</em><em>)</em><em>+</em><em>1</em><em>1</em>
<em>it</em><em> </em><em>does</em><em> </em><em>make</em><em> </em><em>sense</em><em>.</em><em>.</em><em>.</em><em>.</em>
<em>I hope it will help u</em><em>.</em><em>.</em><em>.</em><em>.</em>
Answer:
51 m^2
Step-by-step explanation:
The shaded area is the difference between the area of the overall figure and that of the rectangular cutout.
The applicable formulas are ...
area of a triangle:
A = (1/2)bh
area of a rectangle:
A = bh
area of a trapezoid:
A = (1/2)(b1 +b2)h
___
We note that the area of a triangle depends only on the length of its base and its height. The actual shape does not matter. Thus, we can shift the peak of the triangular portion of the shape (that portion above the top horizontal line) so that it lines up with one vertical side or the other of the figure. That makes the overall shape a trapezoid with bases 16 m and 10 m. The area of that trapezoid is then ...
A = (1/2)(16 m + 10 m)(5 m) = 65 m^2
The area of the white internal rectangle is ...
A = (2 m)(7 m) = 14 m^2
So, the shaded area is the difference:
65 m^2 -14 m^2 = 51 m^2 . . . . shaded area of the composite figure
_____
<em>Alternate approach</em>
Of course, you can also figure the area by adding the area of the triangular "roof" to the area of the larger rectangle, then subtracting the area of the smaller rectangle. Using the above formulas, that approach gives ...
(1/2)(5 m)(16 m - 10 m) + (5 m)(10 m) - (2 m)(7 m) = 15 m^2 + 50 m^2 -14 m^2
= 51 m^2
Answer:

Step-by-step explanation:
The domain is the span of x-values covered by the graph.
From the graph, we can see that the x-values covered by the graph is all values to the left of zero including zero.
Therefore, the domain is all x-values less than or equal to 0:

Further notes:
In interval notation, this is:
![(-\infty,0]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C0%5D)