Answer:

Step-by-step explanation:
The generating function a(x) produces a power series ...

where the coefficients are the elements of the given sequence.
We observe that the given sequence has the recurrence relation ...

This can be rearranged to ...

We can formulate this in terms of a(x) as follows, then solve for a(x).

The generating function is ...
a(x) = 1/(1+2x)
The geometric mean of 8 and 253 is;
<h3>Geometric mean of numbers</h3>
According to the question;
- The task requires that the geometric mean of 8 and 253 be determined.
The geometric mean of a two numbers is the square root the product of the he numbers.
Hence, in this scenario;
The geometric mean of 8 and 253 is;
G.M = 45.
Ultimately, the geometric mean of 8 and 253 is approximately 45.
Read more on geometric mean;
brainly.com/question/23483761
Answer:

Step-by-step explanation:
we know that
In a parallelogram the diagonals bisect each other
The figure XYZW is a parallelogram
so
VW=VY
VX=VZ
<em>Find the value of b</em>
VW=VY
substitute the given values

solve for b

Find the length of YW
----> by addition segment postulate

substitute the value of b

N.B. I believe your question is saying that the price of a cup of coffee was $2.40 yesterday, and it rose to $2.65 today. Therefore, I will solve with these prices.
The percent increase is 10.41666666% (The 6 is repeating.).
First, you find the difference, or increase, between the two prices.
New price - Old price = Increase
$2.65 - $2.40 = $0.25
The difference between the two prices is $0.25. To find the percent increase, you want to divide the original price ($2.40) from the increase ($0.25) and multiply by 100.
Increase ÷ Original Price × 100 = % increase
0.25 ÷ 2.40 × 100 = 10.41666666%
The percent increase is 10.41666666% (The 6 is repeating.).