Answer:
The closed linear form of the given sequence is 
Step-by-step explanation:
Given that the first term 
and 
To find the closed linear form for the given sequence
The formula for arithmetic sequence is
(where d is the common difference)
The above equation is of the given form
Comparing this we get d=0.75
With and d=0.75
We can substitute these values in
Rewritting as below
Therefore
Therefore the closed linear form of the given sequence is
You can write down 22 names but them in a box and there is a 1 out of 22 percent chance that each player will pick once
Step-by-step explanation:
First, we are going to find the common ratio of our geometric sequence using the formula:
. For our sequence, we can infer that
and
. So lets replace those values in our formula:
Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula:
. We know that
; we also know for our previous calculation that
. So lets replace those values in our formula:
Finally, to find the 9th therm in our sequence, we just need to replace
with 9 in our explicit formula:
We can conclude that the 9th term in our geometric sequence is <span>
1,562,500</span>
Answer:
0.501
Step-by-step explanation:
