Let
denote the <em>k</em>th term of the sequence. Then

where <em>d</em> is the common difference between consecutive terms in the sequence and <em>a</em>₁ is the first term.
The sum of the first <em>n</em> terms is

From the formula for
, we get




So we have
, and
so that
.
Then the <em>n</em>th term in the sequence is

Answer:
see the explanation
Step-by-step explanation:
we have

Find the inverse of A(x)
Let
y=A(x)

Exchange the variables x for y and y for x

Isolate the variable y


Let

------> function inverse of A(x)
<em>Explanation</em>
For x=1
Find the value of A(x)

The point (1,7) is a solution for A(x)
That means-----> The point (7,1) is a solution for the function inverse g(x)
Verify
For x=7
The point (7,1) is a solution for g(x)
therefore
A(x) and g(x) are inverses of each other if the point (x,y) is a solution of A(x) and the point (y,x) is a solution of g(x)
Answer:
I believe the answer is D.
Step-by-step explanation:
(f∘g)(x) = f(g(x))
(f∘g)(2) = f(g(2)) = f(5·2² -3) = f(17) = 2·17 -2 = 32
(f∘g)(2) = 32
<span>In order to find the volume of a cylinder, we must find the area of its circular face and multiply that value by its height. The area of a circle is (pi)*r^2. The diameter is twice the radius, so the cylinder has a radius of 6/2, or 3 ft. The area of the circular face of the cylinder is therefore 9(pi) or approximately 28.27 sq. ft. Multiplying that area by the height of 9 ft. results in a volume of approximately 254.3 cubic ft., which is answer C.</span>